bug323 (missed optimization)

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.9s (40.2%)

Memory
-43.4MiB live, 1 226.2MiB allocated; 922ms collecting garbage
Samples
1.1s3 918×2valid
470.0ms4 154×1valid
8.0ms184×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-acos: 946.0ms (72% of total)
adjust: 196.0ms (14.9% of total)
ival-sub: 164.0ms (12.5% of total)
exact: 7.0ms (0.5% of total)
ival-assert: 2.0ms (0.2% of total)
Bogosity

explain136.0ms (2.9%)

Memory
-39.0MiB live, 167.0MiB allocated; 51ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(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))sensitivity2540
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-002
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms246×2valid
47.0ms254×1valid
1.0ms12×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-acos: 57.0ms (71.7% of total)
adjust: 11.0ms (13.8% of total)
ival-sub: 11.0ms (13.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess198.0ms (4.3%)

Memory
22.1MiB live, 165.7MiB allocated; 10ms 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
iter limit
node limit
iter limit
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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Counts
4 → 8
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#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 x #s(hole binary64 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) 1 x)
0.0ms
x
@inf
((acos (- 1 x)) (- 1 x) 1 x)
0.0ms
x
@0
((acos (- 1 x)) (- 1 x) 1 x)

rewrite42.0ms (0.9%)

Memory
-16.1MiB live, 30.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
02572
19071
061871
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 35
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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 x #s(hole binary64 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
(/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 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))) (fma.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)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))

eval3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 337 to 109 computations (67.7% saved)

prune10.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh000
Picked011
Done000
Total29635
Accuracy
9.4%
Counts
35 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(/.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))))))
6.8%
(/.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))))
6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
7.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
6.9%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Compiler

Compiled 184 to 106 computations (42.4% saved)

series17.0ms (0.4%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
30 → 43
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
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)
(-.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)
(/.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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)))))
(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
#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 (* (- (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 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 (/ (- (* (/ (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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#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 (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow x -1) 1) #s(hole binary64 -1))
#s(approx (- (pow x -1) 1) #s(hole binary64 (- (/ 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))))))
#s(approx (* (- (pow x -1) 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 (/ (- (* (/ (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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#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 (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Calls

3 calls:

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

rewrite145.0ms (3.1%)

Memory
-19.5MiB live, 123.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371159
0183807
1586796
04956785
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
73 → 615
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
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)
(-.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)
(/.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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)))))
(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)))
#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 (* (- (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 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 (/ (- (* (/ (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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#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 (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow x -1) 1) #s(hole binary64 -1))
#s(approx (- (pow x -1) 1) #s(hole binary64 (- (/ 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))))))
#s(approx (* (- (pow x -1) 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 (/ (- (* (/ (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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#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 (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 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 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
(*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)
(*.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.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)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
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#s(approx (- 1 x) #s(literal 1 binary64))
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#s(approx (* (- (pow x -1) 1) x) #s(literal 1 binary64))
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#s(approx x x)
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#s(approx (asin (- 1 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)))) (-.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)) (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 (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (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)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#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 (pow (asin (- 1 x)) 3) (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 (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (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)))))
#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 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (- (pow x -1) 1) x) (neg.f64 x))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (- (pow x -1) 1) #s(literal -1 binary64))
#s(approx (- (pow x -1) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (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))))
#s(approx (asin (- 1 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)))) (-.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)) (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 (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (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)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#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 (pow (asin (- 1 x)) 3) (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 (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (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)))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval117.0ms (2.5%)

Memory
-6.2MiB live, 132.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 35 127 to 2 746 computations (92.2% saved)

prune35.0ms (0.8%)

Memory
10.7MiB live, 58.5MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New87514889
Fresh000
Picked505
Done101
Total88114895
Accuracy
10.5%
Counts
895 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(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)))))
10.3%
(/.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)) (*.f64 (neg.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)))) (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))))))
10.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
10.3%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
4.9%
(/.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))))))
6.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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))))
6.8%
(/.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))))
3.1%
(/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (PI.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 #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 #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))))))
10.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
4.9%
(-.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)))
4.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
6.9%
(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)))
4.9%
(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)))
Compiler

Compiled 908 to 462 computations (49.1% saved)

series25.0ms (0.6%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
45 → 70
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #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 (- 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))
(*.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)
(/.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)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(-.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(/.f64 (cbrt.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 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #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 (-.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))))))
(-.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)))
(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))
#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)))))
(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
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- x 1)) 2) (acos (- 1 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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- x 1)) 2) (acos (- 1 x))))))
#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (acos (- 1 x))))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (acos (- 1 x)))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 x)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x)))))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 x))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (acos (- 1 x)) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) (pow (asin (+ -1 x)) 2) (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))
7.0ms
x
@0
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (acos (- 1 x)) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) (pow (asin (+ -1 x)) 2) (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))
6.0ms
x
@inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (acos (- 1 x)) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) (pow (asin (+ -1 x)) 2) (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))

rewrite160.0ms (3.5%)

Memory
-47.2MiB live, 148.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252032
03061816
19921300
082891288
Stop Event
iter limit
node limit
iter limit
Counts
115 → 1 268
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #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 (- 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))
(*.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)
(/.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)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(-.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(/.f64 (cbrt.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 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #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 (-.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))))))
(-.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)))
(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))
#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)))))
(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)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- x 1)) 2) (acos (- 1 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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- x 1)) 2) (acos (- 1 x))))))
#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (acos (- 1 x))))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (acos (- 1 x)))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 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 (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 x)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x)))))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (acos (+ 1 (* -1 x))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (/ (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#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)) (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Outputs
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #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 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (acos.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 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.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)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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))))) (*.f64 (/.f64 (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)))) (/.f64 (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)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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)))) (/.f64 (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))))))
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#s(approx x x)
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#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (pow (asin (- 1 x)) 3) (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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (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))))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (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)))))
#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 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (neg.f64 x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(literal -1 binary64))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (- (pow x -2) 1) #s(literal -1 binary64))
#s(approx (- (pow x -2) 1) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow x -1) -1) #s(literal 1 binary64))
#s(approx (- (pow x -1) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) (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)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 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)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (- (/ (pow (/ (PI) 2) 2) (acos (- 1 x))) (/ (pow (asin (+ -1 x)) 2) (acos (- 1 x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (* (pow (cbrt (PI)) 2) (/ (cbrt (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 (pow (asin (- 1 x)) 3) (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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (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))))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (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)))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval189.0ms (4.1%)

Memory
44.9MiB live, 228.9MiB allocated; 25ms collecting garbage
Compiler

Compiled 64 117 to 5 272 computations (91.8% saved)

prune943.0ms (20.5%)

Memory
-16.4MiB live, 752.1MiB allocated; 44ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 565111 576
Fresh549
Picked415
Done000
Total1 574161 590
Accuracy
10.6%
Counts
1 590 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
3.0%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
10.3%
(/.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)) (*.f64 (neg.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)))) (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))))))
10.3%
(/.f64 (fma.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)) (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))))
8.9%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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 #s(approx (- 1 x) #s(literal 1 binary64)))))
10.3%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
4.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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))))))
3.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
6.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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))))
3.1%
(/.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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
4.9%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
4.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
5.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
4.6%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
4.9%
(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)))
Compiler

Compiled 1 130 to 592 computations (47.6% saved)

series83.0ms (1.8%)

Memory
-0.9MiB live, 141.3MiB allocated; 14ms collecting garbage
Counts
60 → 110
Calls
Call 1
Inputs
(/.f64 (fma.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)) (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))))
(fma.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))))
(/.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)
#s(literal -1 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #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 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(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))
(*.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)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 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)))
Outputs
#s(approx (/ (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- x 1)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- x 1)) (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))
#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 (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 1))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 1))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 x)))))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow (exp (log x)) -1) #s(hole binary64 (/ 1 x)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (* -1 (/ (- (pow x 2) 1) (+ 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (* -1 (/ (- (pow x 2) 1) (+ 1 x)))) (asin (- 1 x))))))
#s(approx (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (* -1 (/ (- (pow x 2) 1) (+ 1 x)))) (asin (- 1 x)))))
#s(approx (asin (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (asin (* -1 (/ (- (pow x 2) 1) (+ 1 x))))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 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 (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (- 1 x))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (- 1 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 (+ (* (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1))))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (+ (* x x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 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 (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 1))
#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -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))))))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1)))))))
#s(approx (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1))))))
#s(approx (asin (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (asin (/ (- (pow x 2) 1) (- (* -1 x) 1)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 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 (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (+ 1 (* -1 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 (+ (* (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
44.0ms
x
@0
((/ (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) (- 1 (pow x 3)) 1 (pow x 3) x 3 (+ (+ (* x x) x) 1) (+ (* x x) x) (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow (exp (log x)) -1) -1) (pow (exp (log x)) -1) (exp (log x)) (log x) (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) (cbrt (sqrt (PI))) (sqrt (PI)) (/ (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x))) (asin (/ (- (* x x) 1) (- (neg x) 1))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) (* x x) (- (neg x) 1) (neg x) (/ (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) 1/2 (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))
23.0ms
x
@-inf
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13.0ms
x
@inf
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rewrite79.0ms (1.7%)

Memory
0.5MiB live, 91.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03302789
04302430
014332401
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
170 → 362
Calls
Call 1
Inputs
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(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)
#s(literal -1 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)
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#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) #s(hole binary64 (asin (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))
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#s(approx (- 1 (pow x 3)) #s(hole binary64 1))
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#s(approx (+ (* x x) x) #s(hole binary64 x))
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#s(approx (- 1 x) #s(hole binary64 1))
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#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow (exp (log x)) -1) #s(hole binary64 (/ 1 x)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
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#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
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#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (- 1 x)))))
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#s(approx (* (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (- 1 x))))))
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#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
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#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
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#s(approx (- (pow (exp (log x)) -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -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))))))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1)))))))
#s(approx (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (asin (/ (- (pow x 2) 1) (- (* -1 x) 1))))))
#s(approx (asin (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (asin (/ (- (pow x 2) 1) (- (* -1 x) 1)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 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 (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (+ 1 (* -1 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 (+ (* (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) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))
Outputs
(/.f64 (neg.f64 (fma.f64 (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)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (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)))) (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 (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 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (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 (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 (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 #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))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (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))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (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 (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 (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 #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))))) (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 1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (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))))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (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))))))
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (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))))))
(fma.f64 (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)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (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))))) (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)) (*.f64 (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))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.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 (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) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x 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 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
(asin.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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.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))) (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.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 (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)))
(asin.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 #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 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x))))
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(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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 1 binary64))
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(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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(*.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)))
(/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))
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#s(approx (- (pow (exp (log x)) -1) -1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (neg.f64 x))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (- (neg x) 1) (neg.f64 x))
#s(approx (- (neg x) 1) (*.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (+ (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))))
#s(approx (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))))
#s(approx (asin (+ -1 x)) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (+ -1 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (asin (- 1 x)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (acos (- 1 x)) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow (exp (log x)) -1) -1)) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (acos (- 1 x)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))))
#s(approx (* (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin (- 1 x))) (*.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (asin (/ (- (* x x) 1) (- (neg x) 1))) (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 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 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))))
#s(approx (pow (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) 3) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (pow (asin (- 1 x)) 1/2) (sqrt.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))

eval81.0ms (1.8%)

Memory
1.6MiB live, 140.2MiB allocated; 22ms collecting garbage
Compiler

Compiled 21 926 to 1 962 computations (91.1% saved)

prune261.0ms (5.7%)

Memory
16.3MiB live, 306.6MiB allocated; 27ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New5596565
Fresh1910
Picked415
Done101
Total56516581
Accuracy
10.6%
Counts
581 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
3.0%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
10.3%
(/.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)) (*.f64 (neg.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)))) (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))))))
8.9%
(/.f64 (fma.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
4.9%
(/.f64 (fma.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)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.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))))
6.0%
(/.f64 (fma.f64 (asin.f64 (/.f64 #s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #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)) (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 (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 #s(approx (- 1 x) (neg.f64 x)))))))
4.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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))))))
3.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
5.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 #s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) (-.f64 (neg.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))))
3.1%
(/.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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
4.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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))))
10.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
4.9%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
4.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
5.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
Compiler

Compiled 1 850 to 570 computations (69.2% saved)

regimes28.0ms (0.6%)

Memory
-6.0MiB live, 42.9MiB allocated; 1ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 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 (/.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)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.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 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (PI.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 #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 #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 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (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 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 #s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) (-.f64 (neg.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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))))))
(/.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 (*.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 #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(/.f64 (fma.f64 (asin.f64 (/.f64 #s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #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)) (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 (fma.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)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.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 (fma.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (fma.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)) (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 (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)) (*.f64 (neg.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)))) (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 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(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)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
Outputs
(/.f64 (fma.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)) (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))))
Calls

3 calls:

9.0ms
x
8.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
7.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
10.3%1(-.f64 #s(literal 1 binary64) x)
10.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes24.0ms (0.5%)

Memory
-11.1MiB live, 36.4MiB allocated; 1ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 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 (/.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)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.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 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (PI.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 #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 #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 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (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 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 #s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) (-.f64 (neg.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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))))))
(/.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 (*.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 #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(/.f64 (fma.f64 (asin.f64 (/.f64 #s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #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)) (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 (fma.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)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.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 (fma.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
Outputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
Calls

3 calls:

8.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
6.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.3%1x
10.3%1(-.f64 #s(literal 1 binary64) x)
10.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.4%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 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 (/.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)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.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 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (PI.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 #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 #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 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (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 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 #s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) (-.f64 (neg.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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))))))
(/.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 (*.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 #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (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))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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 #s(approx (- 1 x) #s(literal 1 binary64)))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
Calls

3 calls:

7.0ms
x
6.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.3%1x
10.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.3%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.2%)

Memory
-31.1MiB live, 16.4MiB allocated; 1ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 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 (/.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)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.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 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.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
9.4%2(-.f64 #s(literal 1 binary64) x)
9.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.4%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 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 (/.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)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) 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
9.3%2x
9.3%2(-.f64 #s(literal 1 binary64) x)
9.3%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms 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) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
6.9%1x
6.9%1(-.f64 #s(literal 1 binary64) x)
6.9%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify32.0ms (0.7%)

Memory
-31.2MiB live, 16.6MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041123
156123
274123
3105123
4273123
52311123
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (fma.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)) (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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.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))) (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) (neg.f64 x)))
Outputs
(/.f64 (fma.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)) (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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.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))) (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) (neg.f64 x)))

derivations69.0ms (1.5%)

Memory
17.3MiB live, 66.5MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 123 to 42 computations (65.9% saved)

preprocess33.0ms (0.7%)

Memory
3.6MiB live, 50.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 254 to 92 computations (63.8% saved)

end0.0ms (0%)

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

Profiling

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