Ian Simplification

Time bar (total: 1.8min)

analyze5.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

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

sample3.3s (3.1%)

Results
1.5s3325×2valid
1.3s4749×1valid
17.0ms182×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-asin: 1.1s (45.1% of total)
ival-div: 301.0ms (12.5% of total)
ival-sub: 287.0ms (11.9% of total)
backward-pass: 210.0ms (8.7% of total)
ival-sqrt: 189.0ms (7.8% of total)
ival-mult: 181.0ms (7.5% of total)
ival-pi: 127.0ms (5.3% of total)
const: 27.0ms (1.1% of total)
Bogosity

preprocess74.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
770×fnmadd-define
612×fmsub-define
590×fnmsub-define
466×fmm-def
362×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01942
14740
29737
322433
446133
590433
6144533
7190733
8228233
9241533
10243933
01113
12613
24012
36712
410511
517211
629211
744111
856011
985011
10104111
11106311
0106311
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
Call 2
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(fnmsub 2 (asin (sqrt (fnmsub x 1/2 -1/2))) (* (PI) -1/2))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(fnmsub 2 (asin (sqrt (fnmsub x -1/2 -1/2))) (* (PI) -1/2))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
(fnmsub (asin (sqrt (fnmsub x -1/2 -1/2))) -2 (* (PI) 1/2))

explain311.0ms (0.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
00-0-(PI.f64)
00-0-x
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
Results
143.0ms218×2valid
96.0ms280×1valid
2.0ms14×0valid
Compiler

Compiled 118 to 35 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-asin: 63.0ms (39% of total)
ival-mult: 22.0ms (13.6% of total)
ival-sqrt: 21.0ms (13% of total)
ival-div: 18.0ms (11.1% of total)
backward-pass: 16.0ms (9.9% of total)
ival-sub: 13.0ms (8% of total)
ival-pi: 7.0ms (4.3% of total)
const: 2.0ms (1.2% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 12 computations (14.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify29.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Rules
292×fnmadd-define
232×sum3-define
212×fma-lowering-fma.f32
212×fma-define
212×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01150
12650
24049
36749
410544
517244
629244
744144
856044
985044
10104144
11106344
0106344
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
(/ (- 1 x) 2)
(- 1 x)
1
x
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))))
(asin (sqrt (/ (- 1 x) 2)))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(sqrt (/ (- 1 x) 2))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(/ (- 1 x) 2)
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize137.0ms (0.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓accuracy9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Results
60.0ms109×2valid
56.0ms140×1valid
1.0ms7×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-asin: 31.0ms (42.6% of total)
ival-div: 10.0ms (13.7% of total)
ival-sub: 8.0ms (11% of total)
backward-pass: 8.0ms (11% of total)
ival-sqrt: 6.0ms (8.2% of total)
ival-mult: 6.0ms (8.2% of total)
ival-pi: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)

series5.0ms (0%)

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

12 calls:

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

rewrite568.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
4800×*-lowering-*.f32
4800×*-lowering-*.f64
3020×/-lowering-/.f32
3020×/-lowering-/.f64
1152×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
18538
265038
0811838
Stop Event
1×iter limit
1×node limit
Counts
6 → 286
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (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 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (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 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (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)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))

simplify241.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4346×*-lowering-*.f32
4346×*-lowering-*.f64
2544×+-lowering-+.f64
2544×+-lowering-+.f32
1670×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094667
1284641
2973619
33434611
08111611
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
Outputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(*.f64 x (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 x (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.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) 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 #s(literal 0 binary64) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

eval49.0ms (0%)

Compiler

Compiled 10139 to 1194 computations (88.2% saved)

prune103.0ms (0.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New31618334
Fresh000
Picked011
Done000
Total31619335
Accuracy
11.0%
Counts
335 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.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 (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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
7.8%
(/.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (*.f64 (+.f64 (/.f64 (*.f64 (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
7.8%
(/.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.7%
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
7.8%
(-.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶7.8%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
▶9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
7.8%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
Compiler

Compiled 2316 to 731 computations (68.4% saved)

simplify166.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))
✓cost-diff128
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64)))
✓cost-diff192
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
✓cost-diff27328
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
✓cost-diff64
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))
✓cost-diff128
(*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))
✓cost-diff128
(+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))
✓cost-diff192
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff64
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff64
(*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓cost-diff6336
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
✓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-diff64
(-.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))))
✓cost-diff192
(*.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-diff192
(+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓cost-diff192
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Rules
2536×*-lowering-*.f32
2536×*-lowering-*.f64
1808×fnmadd-define
1444×sum5-define
1306×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0478589935172
11108589935160
22738589935156
38368589935156
425558589935156
550948589935156
08022586
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/ (PI) 2)
(PI)
2
(+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-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) 2/3) (/ (cbrt (PI)) 2)) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2))
(pow (PI) 2/3)
(PI)
2/3
(/ (cbrt (PI)) 2)
(cbrt (PI))
2
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
3
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(/ (* (PI) (PI)) 4)
4
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))
(/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(/ (* (PI) (PI)) 4)
4
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
8
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
2
3
Outputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+.f64 (PI.f64) (*.f64 #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)
(- (/ (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) 2/3) (/ (cbrt (PI)) 2)) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2))
(+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(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) 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)
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (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))) (+.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))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3))
(+.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)))
(/ (* (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 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -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))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (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))) (+.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))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 8 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))
(* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 8 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) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
8
#s(literal 8 binary64)
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 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 (pow (+ 1/2 (/ x -2)) 1/2))) 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 (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
2
#s(literal 2 binary64)
3
#s(literal 3 binary64)

localize2.7s (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓accuracy99.3%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
✓accuracy6.5%
(PI.f64)
✓accuracy99.9%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.9%
(pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))
✓accuracy99.4%
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))
✓accuracy6.5%
(PI.f64)
✓accuracy100.0%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(cbrt.f64 (PI.f64))
✓accuracy99.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
✓accuracy6.5%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy99.9%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy6.5%
(PI.f64)
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓accuracy99.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓accuracy6.5%
(PI.f64)
Results
2.5s247×5exit
14.0ms6×2valid
13.0ms3×3valid
Compiler

Compiled 705 to 47 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-pow: 865.0ms (41% of total)
ival-asin: 549.0ms (26% of total)
backward-pass: 182.0ms (8.6% of total)
ival-mult: 120.0ms (5.7% of total)
ival-acos: 120.0ms (5.7% of total)
ival-div: 88.0ms (4.2% of total)
ival-add: 45.0ms (2.1% of total)
ival-sub: 38.0ms (1.8% of total)
compiled-spec: 38.0ms (1.8% of total)
ival-pi: 18.0ms (0.9% of total)
ival-sqrt: 17.0ms (0.8% of total)
ival-cbrt: 13.0ms (0.6% of total)
...c/correct-round.rkt:119:19: 12.0ms (0.6% of total)
const: 4.0ms (0.2% of total)

series34.0ms (0%)

Counts
26 → 216
Calls
Call 1
Inputs
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))>
#<alt (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)>
#<alt (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))>
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* 2 (asin (sqrt 1/2)))>
#<alt (+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2))>
#<alt (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)>
#<alt (asin (pow (+ 1/2 (/ x -2)) 1/2))>
#<alt (pow (+ 1/2 (/ x -2)) 1/2)>
#<alt (/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))>
#<alt (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3))>
#<alt (- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))>
#<alt (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))>
#<alt (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8))>
#<alt (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)>
#<alt (asin (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (cbrt (PI))>
#<alt (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)>
Outputs
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (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 (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (- (* 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)))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<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))>
#<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

54 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))
5.0ms
x
@-inf
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))
3.0ms
x
@0
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
2.0ms
x
@0
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))
2.0ms
x
@inf
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))

rewrite366.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
3900×*-lowering-*.f32
3900×*-lowering-*.f64
2048×fma-lowering-fma.f32
2048×fma-lowering-fma.f64
1974×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047391
1334346
23567344
08775344
Stop Event
1×iter limit
1×node limit
Counts
26 → 664
Calls
Call 1
Inputs
(- (/ (PI) 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))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(PI)
(* 2 (asin (sqrt 1/2)))
(+ (* (pow (PI) 2/3) (/ (cbrt (PI)) 2)) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3))
(- (/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))))
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(/ (* (PI) (* (PI) (PI))) (* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8))
(* (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (+ (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))) 8)
(asin (sqrt 1/2))
(sqrt 1/2)
(cbrt (PI))
(pow (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) -2) 3)
(* (PI) (* (PI) (PI)))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 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 0 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 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (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 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.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 (pow.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))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.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) #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)))))) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 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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(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)))
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(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (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 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)))
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simplify268.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4250×*-lowering-*.f32
4250×*-lowering-*.f64
1690×+-lowering-+.f64
1690×+-lowering-+.f32
1406×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01574480
14574003
212393994
338373974
081223974
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (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)))
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(* -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))
(* 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
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (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))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.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))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 binary64))))
(* 8 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 8 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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))

eval9.7s (9%)

Compiler

Compiled 138978 to 5639 computations (95.9% saved)

prune1.3min (74.3%)

Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New2217302247
Fresh7613
Picked415
Done011
Total2228382266
Accuracy
11.2%
Counts
2266 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.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 (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 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (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)))))))
7.9%
(fma.f64 (/.f64 (/.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)))))) (PI.f64) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.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)))))))
7.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
▶7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
9.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.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))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
9.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.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)))))
▶4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
▶9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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)))))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(/.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
7.8%
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.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))))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 (/.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 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.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 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (+.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))))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
7.8%
(-.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶4.3%
(-.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 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.8%
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.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 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.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)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
8.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶9.3%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.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))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.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))))))
7.8%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
Compiler

Compiled 3286 to 1532 computations (53.4% saved)

simplify184.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
✓cost-diff64
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
✓cost-diff128
(*.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))))
✓cost-diff192
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (PI.f64) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
✓cost-diff13312
(-.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 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
✓cost-diff0
(*.f64 (PI.f64) (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)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
✓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 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
✓cost-diff192
(*.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)))))
✓cost-diff192
(pow.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))))) #s(literal 2 binary64))
✓cost-diff192
(-.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) (-.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-diff384
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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)))))))
Rules
2626×*-lowering-*.f32
2626×*-lowering-*.f64
1560×sum4-define
1520×fma-lowering-fma.f32
1520×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052599
1116574
2329555
31258555
44624555
08071555
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(- 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
(+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(+ (* (PI) -1/2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* (PI) -1/2)
(PI)
-1/2
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(acos (sqrt (- 1/2 (* 1/2 x))))
(sqrt (- 1/2 (* 1/2 x)))
(- 1/2 (* 1/2 x))
1/2
(* 1/2 x)
x
2
(/ (- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2)) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (* 2 (asin (sqrt 1/2))) 2)
(* 2 (asin (sqrt 1/2)))
2
(asin (sqrt 1/2))
(sqrt 1/2)
1/2
(+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))) (/ (pow (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
2
(* 2 (asin (sqrt 1/2)))
(asin (sqrt 1/2))
(sqrt 1/2)
1/2
(/ (pow (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(pow (* 2 (asin (sqrt 1/2))) 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
2
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
4
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
(+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(/ (* (PI) (PI)) 4)
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
Outputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 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))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(- (/ (PI) 2) (PI))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 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)
(+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+ (* (PI) -1/2) (* (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)))))))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (- 1/2 (* 1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(- 1/2 (* 1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
2
#s(literal 2 binary64)
(/ (- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2)) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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))))))
(- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (* 2 (asin (sqrt 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(* 2 (asin (sqrt 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
2
#s(literal 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)
(+ (/ (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)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))) (/ (pow (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 8 binary64)) (*.f64 (/.f64 (PI.f64) #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)
(+ (/ (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))
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 (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow (* 2 (asin (sqrt 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
16
#s(literal 16 binary64)
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
2
#s(literal 2 binary64)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
4
#s(literal 4 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))

localize892.0ms (0.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
✓accuracy9.4%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
✓accuracy100.0%
(*.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%
(*.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%
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓accuracy9.3%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
✓accuracy100.0%
(+.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))))))
✓accuracy100.0%
(pow.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))))) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.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))))) #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)))))))
✓accuracy9.3%
(-.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) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
Results
701.0ms256×2valid
Compiler

Compiled 643 to 53 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 505.0ms
ival-pow: 106.0ms (21% of total)
ival-acos: 84.0ms (16.6% of total)
backward-pass: 67.0ms (13.3% of total)
ival-mult: 60.0ms (11.9% of total)
ival-div: 54.0ms (10.7% of total)
ival-asin: 51.0ms (10.1% of total)
ival-sub: 31.0ms (6.1% of total)
ival-add: 29.0ms (5.7% of total)
ival-sqrt: 16.0ms (3.2% of total)
ival-pi: 5.0ms (1% of total)
const: 3.0ms (0.6% of total)

series18.0ms (0%)

Counts
26 → 168
Calls
Call 1
Inputs
#<alt (/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))>
#<alt (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))>
#<alt (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)>
#<alt (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (+ (* (PI) -1/2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* (PI) -1/2)>
#<alt (PI)>
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2)) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))) (/ (pow (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))))>
#<alt (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))>
#<alt (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4))>
#<alt (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)>
#<alt (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (sqrt (- 1/2 (* 1/2 x)))>
#<alt (asin (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (* 2 (asin (sqrt 1/2)))>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (asin (pow (+ 1/2 (/ x -2)) 1/2))>
Outputs
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 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 (+ (* -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 (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (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 (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

42 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
3.0ms
x
@inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
2.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
2.0ms
x
@0
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
1.0ms
x
@inf
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))

rewrite353.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
3990×*-lowering-*.f32
3990×*-lowering-*.f64
1972×pow-lowering-pow.f64
1972×pow-lowering-pow.f32
1848×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052349
1391230
24231228
08214228
Stop Event
1×iter limit
1×node limit
Counts
26 → 628
Calls
Call 1
Inputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+ (* (PI) -1/2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* (PI) -1/2)
(PI)
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(/ (- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2)) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(- (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt 1/2))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))) (/ (pow (* 2 (asin (sqrt 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 4)
(+ (- (/ (PI) 2) (PI)) (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(sqrt (- 1/2 (* 1/2 x)))
(asin (sqrt 1/2))
(sqrt 1/2)
(* 2 (asin (sqrt 1/2)))
(* (* (PI) (PI)) (* (PI) (PI)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (pow.f64 (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))))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (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 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.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 (pow.f64 (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))))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) #s(literal -8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) #s(literal -8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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 (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 #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 10/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 7/2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/2 binary64)) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.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))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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 (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)))))
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))

simplify243.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3874×*-lowering-*.f32
3874×*-lowering-*.f64
2082×+-lowering-+.f64
2082×+-lowering-+.f32
1270×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01552944
14562707
212502626
340722618
081282618
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* -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)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 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)))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(- (+ (* -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))
(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))))))))
(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
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
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(- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI))
(+.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 #s(literal -1/2 binary64) x))))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(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 (*.f64 x #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 (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal -1/128 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (+.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 x) (sqrt -1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64))))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 x (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 #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 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/2 binary64)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 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 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/2 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))))

eval295.0ms (0.3%)

Compiler

Compiled 87296 to 5017 computations (94.3% saved)

prune310.0ms (0.3%)

Pruning

53 alts after pruning (48 fresh and 5 done)

PrunedKeptTotal
New1814251839
Fresh82331
Picked235
Done022
Total1824531877
Accuracy
11.2%
Counts
1877 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
7.9%
(fma.f64 (/.f64 (/.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)))))) (PI.f64) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.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)))))))
4.3%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -4 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 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)))))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.9%
(/.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (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)))))))
7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.8%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
9.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.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)))))
4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
✓4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.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))))) #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)))))))
▶9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
4.1%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (/.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (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))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.9%
(/.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64)))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 #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)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
9.3%
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
▶7.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
▶7.9%
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
▶9.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(-.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
✓4.3%
(-.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 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.8%
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.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 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
8.0%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
✓9.3%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
▶5.4%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
7.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))))
9.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.8%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
1.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 4642 to 2155 computations (53.6% saved)

simplify201.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(pow.f64 (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))))) #s(literal 4 binary64))
✓cost-diff128
(-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64)))
✓cost-diff320
(*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
✓cost-diff448
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓cost-diff0
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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))))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
✓cost-diff64
(*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓cost-diff64
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓cost-diff128
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓cost-diff192
(pow.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))))) #s(literal 2 binary64))
✓cost-diff192
(-.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) (-.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-diff320
(/.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64)))))
✓cost-diff512
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
Rules
3054×*-lowering-*.f32
3054×*-lowering-*.f64
2478×+-lowering-+.f64
2478×+-lowering-+.f32
1510×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0691151
11811053
2514989
32599989
08220989
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(- 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
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)
(neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
4
(* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(+ (* (PI) -1/2) (* (acos (sqrt 1/2)) 2))
(* (PI) -1/2)
(PI)
-1/2
(* (acos (sqrt 1/2)) 2)
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
2
(/ 1 (/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
1
(/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* (PI) -1/2)
(PI)
-1/2
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
-2
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
(- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
2
(/ (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))))
(+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(* (PI) (* (PI) (* (PI) 1/8)))
(PI)
(* (PI) (* (PI) 1/8))
(* (PI) 1/8)
1/8
(* -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
(* 1/2 x)
x
3
(+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4))))
(* 1/4 (* (PI) (PI)))
1/4
(* (PI) (PI))
(* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
4
(/ (* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)
(neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
4
(/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
1
(- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
Outputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.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)))) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))) (+.f64 (*.f64 (-.f64 (/.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 2 binary64)))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 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))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(- (/ (PI) 2) (PI))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 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)
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (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 (/.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 4 binary64))) (*.f64 (+.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))) (+.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 2 binary64)))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))
(-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (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)) (- (/ (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)
(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 4 binary64))
(neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
4
#s(literal 4 binary64)
(* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(*.f64 (+.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))) (+.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 2 binary64))))
(+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+.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) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (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))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(+ (* (PI) -1/2) (* (acos (sqrt 1/2)) 2))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(* (acos (sqrt 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(acos (sqrt 1/2))
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(/ 1 (/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 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 -1/2 binary64))))
1
#s(literal 1 binary64)
(/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+.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 -1/2 binary64)))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
-2
#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
(- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
2
#s(literal 2 binary64)
(/ (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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 (PI.f64) (*.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 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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))))
(* (PI) (* (PI) (* (PI) 1/8)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))))
(PI)
(PI.f64)
(* (PI) (* (PI) 1/8))
(*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) 1/8)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 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 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
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
3
#s(literal 3 binary64)
(+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4))))
(+.f64 (*.f64 (PI.f64) (*.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 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(* 1/4 (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (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))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
4
#s(literal 4 binary64)
(/ (* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (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 (/.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 4 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (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 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))))
(/.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 (/.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 4 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))
(-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (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)) (- (/ (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(- (/ (PI) 2) (PI))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)
(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 4 binary64))
(neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
4
#s(literal 4 binary64)
(/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
1
#s(literal 1 binary64)
(- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (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))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))

localize1.2s (1.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
✓accuracy98.4%
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))
✓accuracy97.6%
(pow.f64 (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))))) #s(literal 4 binary64))
✓accuracy9.5%
(-.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 (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))))) #s(literal 4 binary64)))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓accuracy98.4%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
✓accuracy9.5%
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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))))
✓accuracy100.0%
(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))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓accuracy99.5%
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓accuracy9.3%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy97.6%
(pow.f64 (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))))) #s(literal 4 binary64))
✓accuracy9.5%
(-.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 (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))))) #s(literal 4 binary64)))
✓accuracy9.3%
(-.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) (-.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)))
✓accuracy9.3%
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
Results
954.0ms256×2valid
Compiler

Compiled 1255 to 70 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 702.0ms
ival-pow: 168.0ms (23.9% of total)
ival-acos: 123.0ms (17.5% of total)
ival-mult: 113.0ms (16.1% of total)
backward-pass: 107.0ms (15.2% of total)
ival-div: 51.0ms (7.3% of total)
ival-asin: 44.0ms (6.3% of total)
ival-add: 37.0ms (5.3% of total)
ival-sub: 28.0ms (4% of total)
ival-sqrt: 14.0ms (2% of total)
ival-neg: 9.0ms (1.3% of total)
ival-pi: 5.0ms (0.7% of total)
const: 4.0ms (0.6% of total)

series49.0ms (0%)

Counts
27 → 228
Calls
Call 1
Inputs
#<alt (/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))>
#<alt (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))))>
#<alt (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))>
#<alt (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)>
#<alt (+ (* (PI) -1/2) (* (acos (sqrt 1/2)) 2))>
#<alt (* (PI) -1/2)>
#<alt (PI)>
#<alt (* (acos (sqrt 1/2)) 2)>
#<alt (/ 1 (/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))>
#<alt (/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))>
#<alt (/ (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))))>
#<alt (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))>
#<alt (* (PI) (* (PI) (* (PI) 1/8)))>
#<alt (/ (* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))>
#<alt (* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))))>
#<alt (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))>
#<alt (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)>
#<alt (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))>
#<alt (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))>
Outputs
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))>
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))>
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))>
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))>
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))>
#<alt (/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))>
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#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<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

57 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
7.0ms
x
@0
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
3.0ms
x
@0
(/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
3.0ms
x
@-inf
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
2.0ms
x
@0
(/ (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))))

rewrite456.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
3162×*-lowering-*.f32
3162×*-lowering-*.f64
1708×/-lowering-/.f32
1708×/-lowering-/.f64
1352×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069651
1505298
24998291
08627291
Stop Event
1×iter limit
1×node limit
Counts
27 → 1038
Calls
Call 1
Inputs
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)) (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))))
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (* (+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))))
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(pow (* 2 (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(+ (* (PI) -1/2) (* (acos (sqrt 1/2)) 2))
(* (PI) -1/2)
(PI)
(* (acos (sqrt 1/2)) 2)
(/ 1 (/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/ (+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+ (* (PI) -1/2) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(/ (+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (* (PI) (PI))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))))
(+ (* (PI) (* (PI) (* (PI) 1/8))) (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(* (PI) (* (PI) (* (PI) 1/8)))
(/ (* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))))) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(* (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)) (/ 1 (- (/ (PI) 2) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4))
(pow (neg (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 4)
(+ (- (/ (PI) 2) (PI)) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(acos (sqrt 1/2))
(sqrt 1/2)
(- (/ (* (PI) (PI)) 4) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(asin (sqrt (- 1/2 (* 1/2 x))))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
Outputs
(+.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.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 (pow.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (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 4 binary64)) (*.f64 (pow.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(*.f64 #s(literal 4 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 2 binary64)))
(*.f64 #s(literal 4 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 4 binary64) (neg.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 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(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 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 #s(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 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.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 2 binary64)) #s(literal 4 binary64))
(*.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 -4 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 2 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(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 (log.f64 (*.f64 #s(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)))) #s(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)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(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)) (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)))) (acos.f64 (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 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(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 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))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (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))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.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 (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)))))
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #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 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.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 (/.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))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(pow.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)))) #s(literal 1 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 (/.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))))
(*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)))

simplify300.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4962×*-lowering-*.f32
4962×*-lowering-*.f64
1992×sum5-define
1410×associate-*r*
1394×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0975496
12945052
25704764
318094764
469394764
080594764
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
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(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (* 1/4 (pow (PI) 2)) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(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
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (pow.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 -1/2 binary64) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
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(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
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(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (pow.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 -1/2 binary64) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
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(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (pow.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 -1/2 binary64) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (pow.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 -1/2 binary64) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/ (* (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (pow.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 -1/2 binary64) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
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(/ (* (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI)) (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (- (pow (- (* 1/2 (PI)) (PI)) 4) (* 16 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 4))))
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(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))))

eval650.0ms (0.6%)

Compiler

Compiled 214662 to 6720 computations (96.9% saved)

prune486.0ms (0.5%)

Pruning

66 alts after pruning (59 fresh and 7 done)

PrunedKeptTotal
New2565242589
Fresh83543
Picked325
Done055
Total2576662642
Accuracy
11.3%
Counts
2642 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
7.9%
(fma.f64 (/.f64 (/.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)))))) (PI.f64) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.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)))))))
4.3%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
6.6%
(pow.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
7.8%
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -4 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 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)))))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (PI.f64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.9%
(/.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (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)))))))
7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.8%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
9.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.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)))))
4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
✓4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (*.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 (*.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 (-.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 #s(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 12 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64))))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
4.1%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.4%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (*.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 (*.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 (-.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 #s(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 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
9.3%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.9%
(/.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64)))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 #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)))))
7.8%
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -3 binary64)) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
9.3%
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
7.8%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
7.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
✓7.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
9.3%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
7.9%
(/.f64 (*.f64 (/.f64 (-.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 (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 (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 #s(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 12 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
7.9%
(/.f64 (*.f64 (-.f64 (/.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 (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 (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)))))) (+.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 (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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 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 12 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
7.7%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
7.9%
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
7.9%
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
7.9%
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal 16 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
4.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
9.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))))
6.5%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
7.8%
(-.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
✓4.3%
(-.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 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.8%
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.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 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
8.0%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
✓9.3%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
✓5.4%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
4.1%
(*.f64 (pow.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
9.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.3%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.8%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
Compiler

Compiled 10420 to 2070 computations (80.1% saved)

regimes223.0ms (0.2%)

Counts
98 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (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 #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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) 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 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.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)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal -2 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
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(/.f64 (*.f64 (-.f64 (/.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 (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 (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)))))) (+.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 (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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 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 12 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.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))))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 (/.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 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.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 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (+.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))))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
Calls

7 calls:

43.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
27.0ms
x
24.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
23.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
23.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
9.4%1x
9.4%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.4%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes188.0ms (0.2%)

Counts
90 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (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 #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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.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 (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 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (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 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (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 (/.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) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (-.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 (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 (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 #s(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 12 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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))))) (+.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 8 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
Calls

7 calls:

25.0ms
(-.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))))))
25.0ms
x
22.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
22.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
22.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
9.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes174.0ms (0.2%)

Counts
83 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (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 #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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) 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 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.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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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (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))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.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 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
Outputs
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
Calls

7 calls:

28.0ms
x
21.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
21.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
20.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
20.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
9.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.3%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes157.0ms (0.1%)

Counts
80 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (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 #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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
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(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 (*.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 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (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))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.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 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.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 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
Calls

7 calls:

30.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
21.0ms
x
20.0ms
(-.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))))))
19.0ms
(-.f64 #s(literal 1 binary64) x)
19.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
9.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.3%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes40.0ms (0%)

Counts
20 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (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 #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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) 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 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
Calls

7 calls:

7.0ms
x
6.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
9.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes10.0ms (0%)

Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify88.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
500×distribute-lft-neg-in_binary64
370×cancel-sign-sub_binary64
362×neg-mul-1_binary64
288×neg-sub0_binary64
234×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080414
1137411
2176411
3200411
4225411
5275411
6382411
7526411
8722411
9911411
101013411
111152411
121312411
131458411
141568411
151643411
161709411
171768411
181815411
191844411
201861411
211872411
221875411
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.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)))) (-.f64 #s(literal 0 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))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 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)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (+.f64 (*.f64 (-.f64 (/.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.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) (-.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 (-.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 (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))))) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 (-.f64 #s(literal 0 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)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (*.f64 (-.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (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))))) #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (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))))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (*.f64 (-.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) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal -1/2 binary64) x)))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 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 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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)))))

soundness2.9s (2.7%)

Rules
4962×*-lowering-*.f32
4962×*-lowering-*.f64
4800×*-lowering-*.f32
4800×*-lowering-*.f64
4250×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01574480
14574003
212393994
338373974
081223974
0975496
12945052
25704764
318094764
469394764
080594764
069651
1505298
24998291
08627291
052349
1391230
24231228
08214228
01552944
14562707
212502626
340722618
081282618
01139
18538
265038
0811838
047391
1334346
23567344
08775344
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 443 to 100 computations (77.4% saved)

preprocess62.0ms (0.1%)

Compiler

Compiled 874 to 180 computations (79.4% saved)

end0.0ms (0%)

Profiling

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