Ian Simplification

Time bar (total: 2.5min)

analyze4.0ms (0%)

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

Compiled 15 to 13 computations (13.3% saved)

sample3.8s (2.5%)

Memory
19.6MiB live, 3 949.1MiB allocated
Samples
1.8s3 210×2valid
1.5s4 878×1valid
45.0ms168×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-asin: 1.4s (50% of total)
ival-pi: 377.0ms (13% of total)
ival-div: 300.0ms (10.4% of total)
ival-sub: 239.0ms (8.3% of total)
ival-sqrt: 181.0ms (6.2% of total)
adjust: 177.0ms (6.1% of total)
ival-mult: 144.0ms (5% of total)
exact: 20.0ms (0.7% of total)
ival-true: 7.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess45.0ms (0%)

Memory
20.5MiB live, 67.7MiB allocated
Algorithm
2×egg-herbie
Rules
212×accelerator-lowering-fma.f32
212×accelerator-lowering-fma.f64
136×*-lowering-*.f32
136×*-lowering-*.f64
118×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14740
29739
319739
431839
545739
656539
767039
869839
971039
01113
12613
24013
35913
48813
512413
618313
724313
829913
933913
1035713
035711
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
Call 2
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x 1/2)))) -2))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
(+ (* 2 (asin (sqrt (+ 1/2 (* x 1/2))))) (* (PI) -1/2))

explain329.0ms (0.2%)

Memory
-1.8MiB live, 692.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.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))))))cancellation2531
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-012
Precision?
0.9960629921259843
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
129.0ms206×2valid
83.0ms294×1valid
1.0ms12×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-asin: 91.0ms (54.4% of total)
ival-sub: 19.0ms (11.3% of total)
ival-div: 17.0ms (10.2% of total)
ival-sqrt: 12.0ms (7.2% of total)
adjust: 11.0ms (6.6% of total)
ival-mult: 11.0ms (6.6% of total)
ival-pi: 5.0ms (3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 14 to 12 computations (14.3% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify21.0ms (0%)

Memory
4.4MiB live, 43.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Rules
212×accelerator-lowering-fma.f32
212×accelerator-lowering-fma.f64
136×*-lowering-*.f32
136×*-lowering-*.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
12650
24050
35950
48850
512450
618350
724350
829950
933950
1035750
035744
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
(/ (- 1 x) 2)
(- 1 x)
1
x
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (sqrt (/ (- 1 x) 2)))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (/ (- 1 x) 2))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(/ (- 1 x) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize120.0ms (0.1%)

Memory
-28.0MiB live, 226.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓accuracy8.7%
(-.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))))))
Samples
60.0ms103×2valid
37.0ms147×1valid
1.0ms6×0valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-asin: 36.0ms (44% of total)
ival-div: 14.0ms (17.1% of total)
ival-mult: 12.0ms (14.7% of total)
ival-sub: 6.0ms (7.3% of total)
adjust: 5.0ms (6.1% of total)
ival-sqrt: 5.0ms (6.1% of total)
ival-pi: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
6 → 48
Calls
Call 1
Inputs
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* 2 (asin (sqrt (/ (- 1 x) 2))))>
#<alt (asin (sqrt (/ (- 1 x) 2)))>
#<alt (sqrt (/ (- 1 x) 2))>
Outputs
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))>
#<alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))>
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
Calls

12 calls:

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

rewrite399.0ms (0.3%)

Memory
20.7MiB live, 772.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 926×accelerator-lowering-fma.f32
7 926×accelerator-lowering-fma.f64
4 770×*-lowering-*.f32
4 770×*-lowering-*.f64
2 994×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify893.0ms (0.6%)

Memory
16.6MiB live, 1 244.9MiB allocated
Algorithm
1×egg-herbie
Rules
29 474×accelerator-lowering-fma.f32
29 474×accelerator-lowering-fma.f64
6 734×*-lowering-*.f32
6 734×*-lowering-*.f64
2 308×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094712
1265681
2828665
32517648
45792648
08056620
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
Outputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(*.f64 x (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 x (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))

eval76.0ms (0.1%)

Memory
-19.8MiB live, 170.6MiB allocated
Compiler

Compiled 13 186 to 1 463 computations (88.9% saved)

prune85.0ms (0.1%)

Memory
16.1MiB live, 253.0MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New45321474
Fresh000
Picked011
Done000
Total45322475
Accuracy
10.4%
Counts
475 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
7.2%
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
▶7.2%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.3%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.3%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.3%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.3%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
7.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
7.3%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.2%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
7.2%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
▶8.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
7.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
5.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
✓7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶7.2%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
Compiler

Compiled 2 402 to 929 computations (61.3% saved)

simplify1.2s (0.8%)

Memory
-4.2MiB live, 1 750.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff64
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
✓cost-diff6272
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))
✓cost-diff128
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
✓cost-diff54016
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff64
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
✓cost-diff25792
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
Rules
43 174×accelerator-lowering-fma.f32
43 174×accelerator-lowering-fma.f64
5 144×+-lowering-+.f64
5 144×+-lowering-+.f32
5 094×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050695
1118679
2297674
31088661
44794661
08414631
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (PI) 2)
(PI)
2
(+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(- 0 (acos (sqrt (+ 1/2 (/ x -2)))))
0
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt 1/2)))
(asin (sqrt 1/2))
(sqrt 1/2)
1/2
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(pow (PI) 1/4)
(PI)
1/4
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(/ (sqrt (PI)) 2)
(sqrt (PI))
2
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(* (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))) (* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(/ (PI) 2)
2
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
1
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
1/8
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(/ (* (PI) (PI)) 4)
4
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3)
(* 2 (asin (sqrt (+ 1/2 (/ x -2)))))
2
3
Outputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (sqrt (+ 1/2 (/ x -2)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (sqrt (+ 1/2 (/ x -2))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin (sqrt 1/2))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(pow (PI) 1/4)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))
(/ (sqrt (PI)) 2)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt (PI))
(sqrt.f64 (PI.f64))
2
#s(literal 2 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (sqrt (+ 1/2 (/ x -2))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(* (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))) (* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))
(asin (sqrt (+ 1/2 (/ x -2))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
(+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
1
#s(literal 1 binary64)
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
(/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
1/8
#s(literal 1/8 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))
(asin (sqrt (+ 1/2 (/ x -2))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
(/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(* 2 (asin (sqrt (+ 1/2 (/ x -2)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
2
#s(literal 2 binary64)
3
#s(literal 3 binary64)

localize829.0ms (0.6%)

Memory
24.6MiB live, 1 326.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy98.5%
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.4%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓accuracy99.4%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓accuracy98.5%
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
✓accuracy8.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
Samples
640.0ms256×2valid
Compiler

Compiled 740 to 52 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 550.0ms
ival-mult: 160.0ms (29.1% of total)
ival-asin: 138.0ms (25.1% of total)
ival-pow: 59.0ms (10.7% of total)
ival-acos: 43.0ms (7.8% of total)
ival-sqrt: 36.0ms (6.5% of total)
ival-div: 35.0ms (6.4% of total)
adjust: 32.0ms (5.8% of total)
ival-add: 26.0ms (4.7% of total)
ival-sub: 11.0ms (2% of total)
ival-pi: 4.0ms (0.7% of total)
exact: 3.0ms (0.5% of total)
ival-neg: 3.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0%)

Memory
22.5MiB live, 64.2MiB allocated
Counts
24 → 156
Calls
Call 1
Inputs
#<alt (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)>
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))>
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Outputs
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#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
Calls

39 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
4.0ms
x
@inf
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3)
3.0ms
x
@inf
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
3.0ms
x
@-inf
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
3.0ms
x
@0
(* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))

rewrite1.1s (0.7%)

Memory
-30.2MiB live, 1 013.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 564×accelerator-lowering-fma.f32
5 564×accelerator-lowering-fma.f64
3 602×*-lowering-*.f32
3 602×*-lowering-*.f64
3 330×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050344
1304286
22924286
08355252
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 103
Calls
Call 1
Inputs
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (PI) 2)
(PI)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(* 2 (asin (sqrt 1/2)))
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(pow (PI) 1/4)
(* (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))) (* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(* (+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2)) (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(/ (* (PI) (PI)) 4)
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))))
(neg (/ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))))
(* (PI) (* (PI) (PI)))
(+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))
(acos (sqrt (+ 1/2 (/ x -2))))
(asin (sqrt 1/2))
(sqrt 1/2)
(sqrt (PI))
(asin (sqrt (+ 1/2 (/ x -2))))
(+ (/ (PI) 2) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 3)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (PI.f64))
(-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
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simplify471.0ms (0.3%)

Memory
27.2MiB live, 740.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 520×accelerator-lowering-fma.f32
9 520×accelerator-lowering-fma.f64
2 318×+-lowering-+.f64
2 318×+-lowering-+.f32
2 134×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623228
11503228
22383228
34293204
48463204
514283204
623803204
736312916
849252916
954632916
1060732916
1165082916
1272692916
080442496
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (* -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)))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(+ (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))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(+ (* -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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
Outputs
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
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(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))

eval746.0ms (0.5%)

Memory
22.8MiB live, 1 499.6MiB allocated
Compiler

Compiled 221 613 to 8 325 computations (96.2% saved)

prune467.0ms (0.3%)

Memory
-8.8MiB live, 1 134.5MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New3 327193 346
Fresh7916
Picked325
Done011
Total3 337313 368
Accuracy
10.6%
Counts
3 368 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))))))
▶7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.2%
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.2%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.1%
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.3%
(fma.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
▶7.2%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
7.1%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.3%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
▶8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
▶8.6%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
8.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.2%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
7.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
7.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶8.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
7.3%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓7.2%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
Compiler

Compiled 3 146 to 1 379 computations (56.2% saved)

simplify406.0ms (0.3%)

Memory
31.5MiB live, 819.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff6272
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff128
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
✓cost-diff6272
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (PI.f64))
✓cost-diff0
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff6464
(+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Rules
16 092×accelerator-lowering-fma.f32
16 092×accelerator-lowering-fma.f64
3 954×*-lowering-*.f32
3 954×*-lowering-*.f64
3 326×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0748589935587
11738589935587
24498589935551
317318589935549
455458589935549
08158925
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))))
(- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))
(* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
3
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
4
(pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+ (* -1/2 (PI)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* -1/2 (PI))
-1/2
(PI)
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(+ 1/2 (* -1/2 x))
1/2
(* -1/2 x)
x
2
(+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(pow (PI) 2/3)
(PI)
2/3
(/ (cbrt (PI)) 2)
(cbrt (PI))
2
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
0
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
3
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(/ (* (PI) (PI)) 4)
4
(* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(/ (PI) 2)
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
1/8
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(/ (* (PI) (PI)) 4)
4
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI)))))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
8
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(+ 1/2 (* -1/2 x))
(* -1/2 x)
-1/2
3
(+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))
(* (* (PI) (PI)) -1/4)
-1/4
(* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI)))
(- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))
(* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4)
-4
Outputs
(/ (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
(- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))
(* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))
(- (/ (PI) 2) (PI))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))
(+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))
(* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+ (* -1/2 (PI)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* -1/2 (PI))
(*.f64 (PI.f64) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(PI)
(PI.f64)
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (+ 1/2 (* -1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
2
#s(literal 2 binary64)
(+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(+.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64)))
(pow (PI) 2/3)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (cbrt (PI)) 2)
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt (PI))
(cbrt.f64 (PI.f64))
2
#s(literal 2 binary64)
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))
0
#s(literal 0 binary64)
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64)) (PI.f64))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))
(/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
1/8
#s(literal 1/8 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(asin (sqrt (+ 1/2 (/ x -2))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI))
(+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (asin (sqrt (+ 1/2 (/ x -2)))) 4)
(*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI)))))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64)) (PI.f64)))))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
8
#s(literal 8 binary64)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (+ 1/2 (* -1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
3
#s(literal 3 binary64)
(+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64)) (PI.f64))))
(* (* (PI) (PI)) -1/4)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64)) (PI.f64))
(* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize916.0ms (0.6%)

Memory
-31.1MiB live, 1 737.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓accuracy98.5%
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.4%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
✓accuracy98.5%
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))
✓accuracy98.5%
(pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy8.7%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
✓accuracy100.0%
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
✓accuracy98.4%
(cbrt.f64 (PI.f64))
✓accuracy7.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓accuracy8.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
✓accuracy98.5%
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))
✓accuracy98.4%
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓accuracy8.7%
(-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
Samples
321.0ms103×2valid
276.0ms147×1valid
4.0ms6×0valid
Compiler

Compiled 1 131 to 76 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 507.0ms
ival-mult: 92.0ms (18.2% of total)
ival-acos: 64.0ms (12.6% of total)
ival-asin: 62.0ms (12.2% of total)
ival-pow: 56.0ms (11.1% of total)
ival-sub: 48.0ms (9.5% of total)
adjust: 40.0ms (7.9% of total)
ival-div: 39.0ms (7.7% of total)
ival-add: 33.0ms (6.5% of total)
ival-pi: 32.0ms (6.3% of total)
const: 12.0ms (2.4% of total)
ival-sqrt: 10.0ms (2% of total)
ival-cbrt: 8.0ms (1.6% of total)
ival-pow2: 6.0ms (1.2% of total)
exact: 3.0ms (0.6% of total)
ival-fabs: 3.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0%)

Memory
19.9MiB live, 98.3MiB allocated
Counts
28 → 264
Calls
Call 1
Inputs
#<alt (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)>
#<alt (pow (+ 1/2 (/ x -2)) 1/2)>
#<alt (/ (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))))>
#<alt (+ (* -1/2 (PI)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* -1/2 (PI))>
#<alt (PI)>
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))>
#<alt (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3))>
#<alt (+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (PI))>
#<alt (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))>
#<alt (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)>
#<alt (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))>
#<alt (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt (+ 1/2 (* -1/2 x)))>
#<alt (cbrt (PI))>
#<alt (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))>
#<alt (acos (pow (+ 1/2 (/ x -2)) 1/2))>
#<alt (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)>
#<alt (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
Outputs
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
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#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
Calls

66 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))
4.0ms
x
@0
(/ (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))))
2.0ms
x
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
2.0ms
x
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
2.0ms
x
@-inf
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))

rewrite519.0ms (0.3%)

Memory
18.9MiB live, 1 043.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 162×accelerator-lowering-fma.f32
8 162×accelerator-lowering-fma.f64
5 260×*-lowering-*.f32
5 260×*-lowering-*.f64
2 540×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074443
1515441
24967441
08976387
Stop Event
1×iter limit
1×node limit
Counts
28 → 894
Calls
Call 1
Inputs
(+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow (+ 1/2 (/ x -2)) 1/2)
(/ (- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))))
(+ (* -1/2 (PI)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* -1/2 (PI))
(PI)
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3))
(+ (* (* (PI) (* (PI) (PI))) (/ 1/8 (+ (/ (* (PI) (PI)) 4) (* (asin (sqrt (+ 1/2 (/ x -2)))) (+ (* (asin (sqrt (+ 1/2 (/ x -2)))) 4) (PI)))))) (/ (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (+ (* (* (PI) (PI)) -1/4) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* (asin (sqrt (+ 1/2 (* -1/2 x)))) -4) (PI))))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(- (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
(* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (* 4 (pow (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (* (- (/ (PI) 2) (PI)) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(cbrt (PI))
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) 3)
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(asin (sqrt (+ 1/2 (* -1/2 x))))
Outputs
(+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
(fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (-.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (-.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (+.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (-.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3/2 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))

simplify1.1s (0.7%)

Memory
-233.4MiB live, 1 307.8MiB allocated
Algorithm
1×egg-herbie
Rules
22 414×accelerator-lowering-fma.f32
22 414×accelerator-lowering-fma.f64
5 334×*-lowering-*.f32
5 334×*-lowering-*.f64
4 506×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01975816
15505784
213285468
339285442
087614762
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
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(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))
(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))))))))
(+ (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))))))
(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))))
(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)
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (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)
(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))))
Outputs
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal -1/16 binary64)))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/128 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(* (sqrt x) (sqrt -1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
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(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))

eval756.0ms (0.5%)

Memory
5.3MiB live, 1 021.1MiB allocated
Compiler

Compiled 216 907 to 9 112 computations (95.8% saved)

prune704.0ms (0.5%)

Memory
20.1MiB live, 1 118.2MiB allocated
Pruning

50 alts after pruning (46 fresh and 4 done)

PrunedKeptTotal
New3 119333 152
Fresh101323
Picked415
Done033
Total3 133503 183
Accuracy
10.7%
Counts
3 183 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))))))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (PI.f64))))
6.9%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
▶7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.2%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (-.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
7.3%
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
7.2%
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
7.3%
(fma.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
7.1%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
6.9%
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
7.2%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)))
7.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
7.1%
(fma.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))))))
7.1%
(/.f64 (fma.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
4.0%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.2%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.4%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.1%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (-.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
8.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
7.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
▶8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
7.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
7.1%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
8.6%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
8.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))))
▶7.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.2%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
▶8.6%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
8.6%
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
7.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
8.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
7.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓8.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
▶5.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
7.3%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓7.2%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 5 422 to 2 389 computations (55.9% saved)

simplify27.6s (18.4%)

Memory
96.9MiB live, 626.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))))
✓cost-diff27008
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
✓cost-diff64
(neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
✓cost-diff128
(*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)))
✓cost-diff6336
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff128
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
✓cost-diff6272
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (PI.f64))
✓cost-diff0
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓cost-diff64
(neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
✓cost-diff128
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff6464
(pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
Rules
14 600×accelerator-lowering-fma.f32
14 600×accelerator-lowering-fma.f64
4 314×*-lowering-*.f32
4 314×*-lowering-*.f64
2 116×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067956
1189949
2613917
32633905
08022861
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)
(pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2)
(+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
3/2
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(/ (* (PI) (PI)) 4)
4
(* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(/ (PI) 2)
(+ (* -1/2 (PI)) (* (acos (sqrt 1/2)) 2))
(* -1/2 (PI))
-1/2
(PI)
(* (acos (sqrt 1/2)) 2)
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
2
(+ (* (pow (PI) 1/4) (/ (pow (PI) 3/4) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(pow (PI) 1/4)
(PI)
1/4
(/ (pow (PI) 3/4) 2)
(pow (PI) 3/4)
3/4
2
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
0
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI))))
(+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))
(* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI)))
(- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2))
0
(pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)
(+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(PI)
(neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
(/ 2 (PI))
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)
1
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI)))
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))))
(* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(PI)
(+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(* (PI) (PI))
(* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
(- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))
(+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))
(* (PI) (* (PI) (PI)))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
3
(* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)) (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2))
(-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))
(pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3/2 binary64))
(+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(acos (sqrt (+ 1/2 (/ x -2))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
3/2
#s(literal 3/2 binary64)
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64))))
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (* -1/2 (PI)) (* (acos (sqrt 1/2)) 2))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(* -1/2 (PI))
(/.f64 (PI.f64) #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(PI)
(PI.f64)
(* (acos (sqrt 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(acos (sqrt 1/2))
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(+ (* (pow (PI) 1/4) (/ (pow (PI) 3/4) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (PI.f64)))
(pow (PI) 1/4)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(/ (pow (PI) 3/4) 2)
(/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow (PI) 3/4)
(pow.f64 (PI.f64) #s(literal 3/4 binary64))
3/4
#s(literal 3/4 binary64)
2
#s(literal 2 binary64)
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (PI.f64))
0
#s(literal 0 binary64)
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI))))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -4 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -4 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -4 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI)))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (PI.f64))
(- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
(pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))
(+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(PI)
(PI.f64)
(neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(acos (sqrt (+ 1/2 (/ x -2))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -2)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(/ 2 (PI))
(/.f64 #s(literal 2 binary64) (PI.f64))
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI)))
(/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -4 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))))
(- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 16 binary64))))
(* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
(PI)
(PI.f64)
(+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))
(* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal -16 binary64)))
(+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))

localize1.6min (63%)

Memory
-82.6MiB live, 1 286.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓accuracy8.6%
(-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))))
✓accuracy100.0%
(*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
✓accuracy8.7%
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
✓accuracy7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (PI.f64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy98.5%
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))
✓accuracy98.5%
(pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy8.7%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
Samples
55.3s256×2valid
Compiler

Compiled 1 119 to 67 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.2s
ival-add: 16.5s (60.8% of total)
ival-mult: 10.3s (37.9% of total)
ival-pow: 140.0ms (0.5% of total)
ival-acos: 57.0ms (0.2% of total)
ival-div: 53.0ms (0.2% of total)
adjust: 43.0ms (0.2% of total)
ival-sub: 31.0ms (0.1% of total)
ival-pow2: 15.0ms (0.1% of total)
ival-sqrt: 13.0ms (0% of total)
exact: 4.0ms (0% of total)
ival-neg: 4.0ms (0% of total)
ival-pi: 4.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0%)

Memory
-7.4MiB live, 70.0MiB allocated
Counts
28 → 252
Calls
Call 1
Inputs
#<alt (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)>
#<alt (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)>
#<alt (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))>
#<alt (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))>
#<alt (+ (* -1/2 (PI)) (* (acos (sqrt 1/2)) 2))>
#<alt (* -1/2 (PI))>
#<alt (PI)>
#<alt (* (acos (sqrt 1/2)) 2)>
#<alt (+ (* (pow (PI) 1/4) (/ (pow (PI) 3/4) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))>
#<alt (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))>
#<alt (pow (+ 1/2 (/ x -2)) 1/2)>
#<alt (+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))>
#<alt (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI)))>
#<alt (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)>
#<alt (/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))>
#<alt (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))>
#<alt (acos (pow (+ 1/2 (/ x -2)) 1/2))>
#<alt (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))>
#<alt (acos (sqrt (+ 1/2 (/ x -2))))>
#<alt (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI)))>
#<alt (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)>
#<alt (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))>
Outputs
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt (- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
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#<alt (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
3.0ms
x
@inf
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
3.0ms
x
@-inf
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
1.0ms
x
@inf
(+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))
1.0ms
x
@-inf
(+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))

rewrite736.0ms (0.5%)

Memory
3.8MiB live, 4 511.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 826×accelerator-lowering-fma.f32
6 826×accelerator-lowering-fma.f64
4 458×*-lowering-*.f32
4 458×*-lowering-*.f64
2 082×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065362
1478362
24803356
09014304
Stop Event
1×iter limit
1×node limit
Counts
28 → 2 177
Calls
Call 1
Inputs
(pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2)
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(+ (* -1/2 (PI)) (* (acos (sqrt 1/2)) 2))
(* -1/2 (PI))
(PI)
(* (acos (sqrt 1/2)) 2)
(+ (* (pow (PI) 1/4) (/ (pow (PI) 3/4) 2)) (- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))
(- 0 (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ (* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI))) (* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1))
(* (- 0 (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 2)) (/ 2 (PI)))
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 1)
(/ (- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)))) (* 2 (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))))
(- (* (PI) (+ (* (PI) (PI)) (* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))))) (* 2 (+ (* (PI) (* (PI) (PI))) (pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (pow (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) 3/2) 2))
(* (PI) (* (PI) (PI)))
(+ (/ (* (PI) (PI)) 4) (* (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)) (+ (/ (PI) 2) (+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))))
(acos (sqrt 1/2))
(sqrt 1/2)
(+ (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(acos (sqrt (+ 1/2 (/ x -2))))
(* (+ (PI) (neg (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 2 (PI)))
(pow (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) 3)
(* (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (- (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) (PI)))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 9 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)))
(/.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))))
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 9 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
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(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

simplify793.0ms (0.5%)

Memory
-4.1MiB live, 3 265.5MiB allocated
Algorithm
1×egg-herbie
Rules
20 274×accelerator-lowering-fma.f32
20 274×accelerator-lowering-fma.f64
5 792×*-lowering-*.f32
5 792×*-lowering-*.f64
4 030×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01734918
15214902
213224498
341854401
084863809
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(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)
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
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(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
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(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
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(* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
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(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(* -1 (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (+ (PI) (* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2) (PI)))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
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(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
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(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
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(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2) (PI)))
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(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
(* -2 (/ (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2) (PI)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 1/2 (/ (- (* (PI) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (PI) 3)))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))))
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(* 1/2 (/ (- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3)))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))))
(* 1/2 (/ (- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3)))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))))
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(- (* (PI) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (PI) 3))))
(- (* (PI) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI)))) (pow (PI) 2))) (* 2 (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (PI) 3))))
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(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (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))))))
(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))))
(- (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))))))
(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 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* 2 (/ (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
Outputs
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
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(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))

eval1.6s (1.1%)

Memory
77.5MiB live, 5 161.2MiB allocated
Compiler

Compiled 380 102 to 15 925 computations (95.8% saved)

prune957.0ms (0.6%)

Memory
-8.7MiB live, 2 079.2MiB allocated
Pruning

54 alts after pruning (49 fresh and 5 done)

PrunedKeptTotal
New5 507155 522
Fresh73441
Picked415
Done044
Total5 518545 572
Accuracy
10.7%
Counts
5 572 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))))))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (PI.f64))))
4.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
7.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.2%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (-.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
7.3%
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
7.2%
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
7.1%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
4.1%
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.2%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)))
7.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -4 binary64)) (PI.f64))))))
7.1%
(fma.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))))))
7.0%
(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.1%
(/.f64 (fma.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.1%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
4.0%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.2%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.4%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.1%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (-.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.2%
(/.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 2 binary64))
8.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
7.2%
(/.f64 (-.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
7.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
7.1%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
8.6%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
8.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))
7.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
8.5%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (PI.f64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
8.6%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
8.6%
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
8.5%
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
7.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
8.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
7.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓8.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
✓5.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
7.3%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
✓7.2%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 8 016 to 1 826 computations (77.2% saved)

regimes248.0ms (0.2%)

Memory
13.4MiB live, 398.3MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (-.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
Calls

7 calls:

53.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
48.0ms
(-.f64 #s(literal 1 binary64) x)
38.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
29.0ms
x
21.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.6%1x
8.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.6%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes106.0ms (0.1%)

Memory
21.6MiB live, 179.0MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (PI.f64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
Outputs
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
Calls

7 calls:

27.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
15.0ms
x
13.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
10.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
8.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.6%1(-.f64 #s(literal 1 binary64) x)
8.6%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes186.0ms (0.1%)

Memory
-58.3MiB live, 144.1MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64))))
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
Calls

7 calls:

98.0ms
(-.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))))))
31.0ms
x
18.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
10.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
8.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.6%1(-.f64 #s(literal 1 binary64) x)
8.6%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify25.0ms (0%)

Memory
-19.5MiB live, 18.7MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
32×+-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056126
195126
2108126
3115126
4118126
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))

soundness8.3s (5.5%)

Memory
24.9MiB live, 2 880.1MiB allocated
Rules
22 414×accelerator-lowering-fma.f32
22 414×accelerator-lowering-fma.f64
9 520×accelerator-lowering-fma.f32
9 520×accelerator-lowering-fma.f64
8 162×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623228
11503228
22383228
34293204
48463204
514283204
623803204
736312916
849252916
954632916
1060732916
1165082916
1272692916
080442496
01139
18139
261839
3725639
0819934
074443
1515441
24967441
08976387
050344
1304286
22924286
08355252
01975816
15505784
213285468
339285442
087614762
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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