bug323 (missed optimization)

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.8s (31.7%)

Memory
2.9MiB live, 1 721.8MiB allocated; 318ms collecting garbage
Samples
919.0ms3 927×2valid
538.0ms4 147×1valid
28.0ms182×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-acos: 602.0ms (54% of total)
adjust: 345.0ms (31% of total)
ival-sub: 157.0ms (14.1% of total)
exact: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain132.0ms (2.3%)

Memory
-10.8MiB live, 97.2MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-1(0.00737951745948103)(acos.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2532
Confusion
Predicted +Predicted -
+2531
-02
Precision
1.0
Recall
0.9960629921259843
Confusion?
Predicted +Predicted MaybePredicted -
+25310
-011
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms238×2valid
24.0ms252×1valid
1.0ms22×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-acos: 29.0ms (59.5% of total)
adjust: 11.0ms (22.6% of total)
ival-sub: 8.0ms (16.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess225.0ms (4%)

Memory
16.7MiB live, 164.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11015
21315
32515
46613
528313
6225213
7569613
044
064
184
2114
3214
4544
52434
620714
753274
084714
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify133.0ms (2.3%)

Memory
4.9MiB live, 99.4MiB allocated; 7ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
189
2119
3219
4549
52439
620719
753279
084719
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize79.0ms (1.4%)

Memory
-16.8MiB live, 29.1MiB allocated; 5ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy58.810803150176355
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Samples
61.0ms119×2valid
12.0ms126×1valid
1.0ms11×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-acos: 14.0ms (57.9% of total)
adjust: 6.0ms (24.8% of total)
ival-sub: 4.0ms (16.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Counts
2 → 7
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((acos (- 1 x)) (- 1 x))
0.0ms
x
@-inf
((acos (- 1 x)) (- 1 x))
0.0ms
x
@0
((acos (- 1 x)) (- 1 x))

simplify165.0ms (2.9%)

Memory
22.3MiB live, 75.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02153
13450
25850
314150
459650
5313950
6609250
0831650
Stop Event
1×iter limit
1×node limit
Counts
7 → 7
Calls
Call 1
Inputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))

rewrite42.0ms (0.7%)

Memory
-13.5MiB live, 33.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1277
01727
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 11
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)

eval2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 193 to 60 computations (68.9% saved)

prune3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616
Accuracy
10.7%
Counts
16 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶8.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓8.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 172 to 98 computations (43% saved)

simplify131.0ms (2.3%)

Memory
-8.7MiB live, 38.1MiB allocated; 3ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff2
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff4
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff2
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff16
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027255
047261
191261
2271251
3928223
43066219
08778217
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))

localize181.0ms (3.2%)

Memory
5.0MiB live, 147.8MiB allocated; 15ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.9808388183790943
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy1.0
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy56.97295638498843
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(PI.f64)
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.366824898994814
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(neg.f64 x)
accuracy58.810803150176355
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy62.572472971905235
#s(approx (- 1 x) (neg.f64 x))
accuracy1.9117919749667964
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy58.810803150176355
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy0.03515625
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.3203125
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.2901814685972
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Samples
144.0ms245×1valid
2.0ms11×0valid
Compiler

Compiled 252 to 25 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-div: 29.0ms (24.4% of total)
adjust: 24.0ms (20.2% of total)
ival-sub: 14.0ms (11.8% of total)
ival-mult: 12.0ms (10.1% of total)
ival-asin: 10.0ms (8.4% of total)
ival-acos: 10.0ms (8.4% of total)
ival-pow: 9.0ms (7.6% of total)
ival-add: 6.0ms (5% of total)
ival-pi: 2.0ms (1.7% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-18.7MiB live, 27.5MiB allocated; 4ms collecting garbage
Counts
20 → 28
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(PI.f64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (PI) (asin (- 1 x)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (* (asin (- 1 x)) (asin (- 1 x))) (- 1 x) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))
5.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (PI) (asin (- 1 x)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (* (asin (- 1 x)) (asin (- 1 x))) (- 1 x) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))
4.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (PI) (asin (- 1 x)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (* (asin (- 1 x)) (asin (- 1 x))) (- 1 x) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))

simplify114.0ms (2%)

Memory
31.7MiB live, 175.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093644
1193631
2568615
31645593
45387593
08067577
Stop Event
1×iter limit
1×node limit
Counts
28 → 28
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (pow (asin (- 1 x)) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (pow (asin (- 1 x)) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

rewrite133.0ms (2.4%)

Memory
-24.8MiB live, 197.9MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027205
047127
1197127
01814126
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
20 → 442
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(PI.f64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -8 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 4 binary64))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))

eval97.0ms (1.7%)

Memory
28.8MiB live, 123.9MiB allocated; 36ms collecting garbage
Compiler

Compiled 26 574 to 1 815 computations (93.2% saved)

prune26.0ms (0.5%)

Memory
-5.6MiB live, 43.8MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New57616592
Fresh000
Picked325
Done011
Total57919598
Accuracy
12.0%
Counts
598 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.4%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶11.8%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶11.7%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
11.7%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
11.7%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶8.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶8.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.3%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓8.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.6%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
✓7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
▶8.1%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1 069 to 518 computations (51.5% saved)

simplify142.0ms (2.5%)

Memory
-14.2MiB live, 72.9MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff2
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff4
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff5
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff6
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff2
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff2
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
cost-diff0
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056662
0104609
1214609
2590609
32107609
46603609
08275607
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 x #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 x x x)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))

localize354.0ms (6.2%)

Memory
22.4MiB live, 407.1MiB allocated; 25ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.8984375
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy0.921875
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.2572926463333
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy0.3203125
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.2901814685972
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy0.3203125
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.2901814685972
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy0.0
(PI.f64)
accuracy0.0
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.366824898994814
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy1.0
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.10385810538416
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy57.366824898994814
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
Samples
283.0ms250×1valid
2.0ms6×0valid
Compiler

Compiled 672 to 57 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
adjust: 59.0ms (25.1% of total)
ival-mult: 34.0ms (14.5% of total)
ival-asin: 30.0ms (12.8% of total)
ival-add: 28.0ms (11.9% of total)
ival-pow: 26.0ms (11.1% of total)
ival-div: 23.0ms (9.8% of total)
ival-sub: 19.0ms (8.1% of total)
ival-pow2: 10.0ms (4.3% of total)
ival-pi: 3.0ms (1.3% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (1.2%)

Memory
-5.2MiB live, 51.3MiB allocated; 40ms collecting garbage
Counts
22 → 32
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
Outputs
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (- (asin (- 1 x)) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (- 1 x)) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (- 1 x)) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (+ 1 (* -1 x))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
47.0ms
x
@inf
((+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (pow (/ (PI) 2) 2) (/ (PI) 2) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (PI) (* (/ (PI) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (- (asin (- 1 x)) (/ (PI) 2)) (asin (- 1 x)) (pow (/ (PI) 2) 3) (asin (/ (- 1 (* x x)) (+ x 1))) (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))))
10.0ms
x
@0
((+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (pow (/ (PI) 2) 2) (/ (PI) 2) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (PI) (* (/ (PI) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (- (asin (- 1 x)) (/ (PI) 2)) (asin (- 1 x)) (pow (/ (PI) 2) 3) (asin (/ (- 1 (* x x)) (+ x 1))) (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))))
8.0ms
x
@-inf
((+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (pow (/ (PI) 2) 2) (/ (PI) 2) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (PI) (* (/ (PI) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (- (asin (- 1 x)) (/ (PI) 2)) (asin (- 1 x)) (pow (/ (PI) 2) 3) (asin (/ (- 1 (* x x)) (+ x 1))) (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))))

simplify141.0ms (2.5%)

Memory
-15.8MiB live, 177.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01701192
14341176
213981174
341601174
085341134
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (- (asin (- 1 x)) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (- 1 x)) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (- 1 x)) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (+ 1 (* -1 x))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))
Outputs
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (- (asin (- 1 x)) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (- 1 x)) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (- 1 x)) 3))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) (pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) #s(hole binary64 (+ (* -1 (pow (asin (+ 1 (* -1 x))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) #s(hole binary64 (* -1 (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (neg (pow (asin (- 1 x)) 2)) (asin (- 1 x))) (pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))

rewrite48.0ms (0.8%)

Memory
-8.5MiB live, 39.0MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055347
0102267
0466266
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
22 → 117
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
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(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
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#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
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(PI.f64)
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eval26.0ms (0.5%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 10 632 to 639 computations (94% saved)

prune31.0ms (0.5%)

Memory
-15.4MiB live, 29.8MiB allocated; 4ms collecting garbage
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New20414218
Fresh3811
Picked325
Done033
Total21027237
Accuracy
12.1%
Counts
237 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.4%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.7%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶11.8%
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶11.7%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
11.7%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
6.4%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.1%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
11.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
8.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓8.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.7%
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
8.1%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
6.3%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓8.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶8.6%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
✓7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
▶11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
8.1%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓8.1%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.7%
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
Compiler

Compiled 2 740 to 1 063 computations (61.2% saved)

simplify115.0ms (2%)

Memory
-15.1MiB live, 129.7MiB allocated; 10ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
cost-diff0
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
cost-diff0
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff2
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff4
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff4
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
cost-diff0
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
cost-diff0
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
cost-diff0
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
cost-diff0
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
cost-diff0
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088825
0152801
1295801
2779799
32527799
08270796
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

localize534.0ms (9.4%)

Memory
18.8MiB live, 448.5MiB allocated; 116ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.10385810538416
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy57.366824898994814
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.8984375
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy0.9808388183790943
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.279864765459216
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
accuracy0.3203125
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.231449578737354
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
accuracy0.0
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
accuracy0.00390625
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy0.1875
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy58.810803150176355
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
accuracy0.3203125
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0154133312302236
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
accuracy1.0154133312302236
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.231449578737354
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
Samples
448.0ms250×1valid
3.0ms6×0valid
Compiler

Compiled 740 to 86 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 346.0ms
adjust: 104.0ms (30% of total)
ival-mult: 49.0ms (14.1% of total)
ival-asin: 47.0ms (13.6% of total)
ival-div: 40.0ms (11.5% of total)
ival-add: 35.0ms (10.1% of total)
ival-sub: 25.0ms (7.2% of total)
ival-pow: 16.0ms (4.6% of total)
ival-pow2: 9.0ms (2.6% of total)
ival-neg: 8.0ms (2.3% of total)
ival-acos: 8.0ms (2.3% of total)
ival-pi: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
26 → 56
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1))))))))
#s(approx (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1)))))))
#s(approx (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (- (asin (- 1 x)) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) #s(hole binary64 (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1)))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x)))))))
#s(approx (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) #s(hole binary64 (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1))))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Calls

3 calls:

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

simplify134.0ms (2.4%)

Memory
-33.9MiB live, 61.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511956
16361936
220961910
371121910
081201836
Stop Event
1×iter limit
1×node limit
Counts
56 → 56
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1))))))))
#s(approx (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1)))))))
#s(approx (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (- (asin (- 1 x)) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) #s(hole binary64 (asin (/ (- (pow x 3) 1) (- (* -1 (* x (+ 1 x))) 1)))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (neg (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (* (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1)))) (asin (+ 1 (* -1 x)))))))
#s(approx (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) #s(hole binary64 (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1))))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (/ (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) #s(hole binary64 (* -1 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))))))
#s(approx (neg (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI))))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* -1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (+ (* (asin (/ (- 1 (* x x)) (- x -1))) (asin (- 1 x))) (* -1/4 (* (PI) (PI)))) (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
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#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (neg (pow (asin (- 1 x)) 3))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))))
#s(approx (/ (* (* (PI) (PI)) 1/4) (+ (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (asin (/ (- 1 (* x x)) (- x -1))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) #s(hole binary64 (asin (* -1 (/ (+ 1 (* -1 (pow x 3))) (- (* x (- (* -1 x) 1)) 1))))))
#s(approx (asin (/ (+ (pow x 3) -1) (+ (* (- -1 x) x) -1))) (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (pow (asin (- 1 x)) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

rewrite170.0ms (3%)

Memory
37.8MiB live, 232.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088586
0152559
1648438
05663434
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
26 → 441
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
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(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))
(*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))

eval82.0ms (1.4%)

Memory
4.7MiB live, 97.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 38 754 to 2 324 computations (94% saved)

prune76.0ms (1.3%)

Memory
-10.1MiB live, 86.8MiB allocated; 14ms collecting garbage
Pruning

46 alts after pruning (39 fresh and 7 done)

PrunedKeptTotal
New55732589
Fresh10717
Picked325
Done055
Total57046616
Accuracy
12.3%
Counts
616 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.7%
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
4.4%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.4%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
4.5%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
11.7%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
11.7%
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.6%
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.6%
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.8%
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.8%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
11.6%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
11.7%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
11.7%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
11.7%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓8.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
6.3%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓8.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
6.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
8.6%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
✓7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
6.4%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.3%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.3%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
8.1%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
8.1%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (+.f64 (/.f64 (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.4%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.7%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.4%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
8.1%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓8.1%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 6 251 to 1 703 computations (72.8% saved)

regimes51.0ms (0.9%)

Memory
-4.6MiB live, 88.1MiB allocated; 4ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (+.f64 (/.f64 (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

19.0ms
x
14.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.8%1(-.f64 #s(literal 1 binary64) x)
11.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes33.0ms (0.6%)

Memory
5.3MiB live, 52.6MiB allocated; 1ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (+.f64 (/.f64 (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

11.0ms
x
9.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
11.8%1x
11.8%1(-.f64 #s(literal 1 binary64) x)
11.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes30.0ms (0.5%)

Memory
-34.7MiB live, 23.7MiB allocated; 5ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (+.f64 (/.f64 (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

14.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
7.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.8%1x
11.8%1(-.f64 #s(literal 1 binary64) x)
11.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.7%1x
11.7%1(-.f64 #s(literal 1 binary64) x)
11.7%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.7%2x
10.7%2(-.f64 #s(literal 1 binary64) x)
10.7%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.7%2x
10.7%2(-.f64 #s(literal 1 binary64) x)
10.7%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) x)
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
7.1%1x
7.1%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
7.1%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-40.4MiB live, 4.3MiB allocated; 5ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

6.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
3.8%1x
3.8%1(-.f64 #s(literal 1 binary64) x)
3.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.372690074837192e-8
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999986
1.0
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify37.0ms (0.7%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082349
1146349
2267349
3520348
41418348
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740979/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740979/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

derivations209.0ms (3.7%)

Memory
-9.7MiB live, 82.5MiB allocated; 10ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 348 to 83 computations (76.1% saved)

preprocess42.0ms (0.7%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 718 to 186 computations (74.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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