bug323 (missed optimization)

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
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 (21%)

Memory
10.4MiB live, 1 524.5MiB allocated
Samples
1.5s7 946×1valid
16.0ms310×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-acos: 687.0ms (59.8% of total)
ival-sub: 207.0ms (18% of total)
adjust: 115.0ms (10% of total)
ival-<=: 111.0ms (9.7% of total)
exact: 14.0ms (1.2% of total)
ival-and: 12.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain122.0ms (1.4%)

Memory
-34.6MiB live, 134.8MiB allocated
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))sensitivity2541
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-011
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms486×1valid
1.0ms26×0valid
Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-acos: 25.0ms (61% of total)
ival-sub: 9.0ms (22% of total)
adjust: 6.0ms (14.6% of total)
ival-true: 1.0ms (2.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1159
2279
3499
4689
5909
61049
044
064
1104
2144
3194
4264
5344
6444
7554
8584
0584
Stop Event
iter limit
saturated
iter limit
saturated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
1109
2149
3199
4269
5349
6449
7559
8589
0589
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize35.0ms (0.4%)

Memory
-6.0MiB live, 67.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Samples
29.0ms243×1valid
1.0ms13×0valid
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-acos: 12.0ms (57.9% of total)
ival-sub: 5.0ms (24.1% of total)
adjust: 3.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
2 → 7
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

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

simplify7.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
12920
26220
312620
419220
526220
628020
028020
Stop Event
iter limit
saturated
Counts
7 → 7
Calls
Call 1
Inputs
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite162.0ms (1.8%)

Memory
-17.0MiB live, 298.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1287
21717
313857
093937
Stop Event
iter limit
node limit
iter limit
Counts
2 → 339
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (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(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval51.0ms (0.6%)

Memory
10.9MiB live, 127.8MiB allocated
Compiler

Compiled 11 082 to 1 330 computations (88% saved)

prune20.0ms (0.2%)

Memory
24.3MiB live, 63.4MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New32815343
Fresh000
Picked011
Done000
Total32816344
Accuracy
10.1%
Counts
344 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
7.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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))))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.9%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 1 034 to 480 computations (53.6% saved)

simplify182.0ms (2%)

Memory
-15.5MiB live, 196.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff320
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff7104
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff7552
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
cost-diff128
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff320
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff320
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff7104
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff1600
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff1024
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff6976
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff7232
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047661
089651
1213643
2761528
33813487
08376468
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(PI.f64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(PI.f64)
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(PI.f64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (acos.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(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 4 binary64) (*.f64 (acos.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 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))
(PI.f64)
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64)))

localize392.0ms (4.4%)

Memory
-25.5MiB live, 337.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.32421875
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.00046099495976
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.328125
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy0.514003759768442
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy57.02200779248925
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(PI.f64)
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.6252460220515081
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy59.14057588705141
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy0.42416000976844204
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.01873820612911
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Samples
231.0ms236×1valid
7.0ms20×0valid
Compiler

Compiled 1 363 to 96 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-mult: 57.0ms (30.6% of total)
ival-sub: 47.0ms (25.2% of total)
ival-div: 18.0ms (9.7% of total)
adjust: 17.0ms (9.1% of total)
ival-acos: 12.0ms (6.4% of total)
ival-asin: 11.0ms (5.9% of total)
ival-add: 6.0ms (3.2% of total)
ival-pi: 5.0ms (2.7% of total)
ival-pow2: 5.0ms (2.7% of total)
ival-sqrt: 4.0ms (2.1% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
23 → 39
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(- (* 1/2 (PI)) (asin (- 1 x)))
(* 1/2 (/ (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (+ (acos (- 1 x)) (* 1/2 (PI)))))
(- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))
(- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
(asin (- 1 x))
(* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))
(pow (acos (- 1 x)) 2)
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(* 1/2 (/ (- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))))
(- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(* 2 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))
(- (* 2 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
(asin (+ 1 (* -1 x)))
(* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))
(pow (acos (+ 1 (* -1 x))) 2)
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))
8.0ms
x
@inf
((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))
7.0ms
x
@0
((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))

simplify225.0ms (2.5%)

Memory
-12.2MiB live, 91.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075642
1281588
2629484
31906452
46453452
08069416
Stop Event
iter limit
node limit
Counts
39 → 39
Calls
Call 1
Inputs
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(- (* 1/2 (PI)) (asin (- 1 x)))
(* 1/2 (/ (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (+ (acos (- 1 x)) (* 1/2 (PI)))))
(- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))
(- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
(asin (- 1 x))
(* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))
(pow (acos (- 1 x)) 2)
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(* 1/2 (/ (- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))))
(- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(* 2 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))
(- (* 2 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
(asin (+ 1 (* -1 x)))
(* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))
(pow (acos (+ 1 (* -1 x))) 2)
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
Outputs
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- (* 1/2 (PI)) (asin (- 1 x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* 1/2 (/ (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (+ (acos (- 1 x)) (* 1/2 (PI)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))
(fma.f64 #s(literal -2 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)))
(- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
(*.f64 #s(literal 4 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(asin (- 1 x))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))
(*.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(pow (acos (- 1 x)) 2)
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* 1/2 (/ (- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (* (PI) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
(* 2 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))
(fma.f64 #s(literal -2 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)))
(- (* 2 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
(*.f64 #s(literal 4 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))
(*.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(pow (acos (+ 1 (* -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

rewrite387.0ms (4.3%)

Memory
-5.6MiB live, 254.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043342
081330
1352307
23202307
09656291
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 181
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))) (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))) (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
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(fma.f64 (PI.f64) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.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)))
(+.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))

eval766.0ms (8.5%)

Memory
16.8MiB live, 475.2MiB allocated
Compiler

Compiled 158 340 to 11 427 computations (92.8% saved)

prune722.0ms (8%)

Memory
4.4MiB live, 207.4MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New2 854312 885
Fresh7310
Picked325
Done011
Total2 864372 901
Accuracy
11.4%
Counts
2 901 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.0%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (*.f64 (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
5.8%
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
5.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
5.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (PI.f64) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 #s(approx (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.9%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
7.6%
#s(approx (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
Compiler

Compiled 2 764 to 1 340 computations (51.5% saved)

simplify134.0ms (1.5%)

Memory
25.5MiB live, 209.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff6784
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff13696
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff320
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
cost-diff1600
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051630
099610
1204601
2596574
32907564
08459554
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.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 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
#s(literal 2 binary64)
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(PI.f64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.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 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
#s(literal 2 binary64)
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (PI.f64))
(-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64))
(PI.f64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.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)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

localize520.0ms (5.8%)

Memory
-45.9MiB live, 334.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy56.802662149909494
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))
accuracy57.01873820612911
(-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy59.14057588705141
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy62.54625765029925
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0
(PI.f64)
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Samples
401.0ms240×1valid
6.0ms16×0valid
Compiler

Compiled 1 284 to 106 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 360.0ms
adjust: 90.0ms (25% of total)
ival-div: 65.0ms (18.1% of total)
ival-mult: 58.0ms (16.1% of total)
ival-neg: 51.0ms (14.2% of total)
ival-asin: 18.0ms (5% of total)
ival-pow: 16.0ms (4.5% of total)
ival-acos: 15.0ms (4.2% of total)
ival-sqrt: 14.0ms (3.9% of total)
ival-add: 12.0ms (3.3% of total)
ival-sub: 9.0ms (2.5% of total)
ival-pow2: 5.0ms (1.4% of total)
ival-cbrt: 4.0ms (1.1% of total)
ival-pi: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
23 → 29
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))
Outputs
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x)))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(- (* 1/2 (PI)) (* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))))
(* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x))))
(* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))))
(+ (asin (- 1 x)) (* 1/2 (PI)))
(asin (- 1 x))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))
(* x (- (/ 1 x) 1))
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x))))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/2 (PI)) (* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))))
(* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x)))))
(* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))))
(+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))
(asin (+ 1 (* -1 x)))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))
Calls

3 calls:

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

simplify160.0ms (1.8%)

Memory
6.3MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079482
1255482
2532482
31370446
44734336
08197314
Stop Event
iter limit
node limit
Counts
29 → 29
Calls
Call 1
Inputs
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x)))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(- (* 1/2 (PI)) (* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))))
(* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x))))
(* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))))
(+ (asin (- 1 x)) (* 1/2 (PI)))
(asin (- 1 x))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))
(* x (- (/ 1 x) 1))
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x))))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/2 (PI)) (* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))))
(* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x)))))
(* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))))
(+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))
(asin (+ 1 (* -1 x)))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))
Outputs
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(- (* 1/2 (PI)) (* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(- (* 1/2 (PI)) (asin (- 1 x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))
(*.f64 (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64) (PI.f64)))
(* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI)))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)))
(+ (asin (- 1 x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin (- 1 x))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(- (* 1/2 (PI)) (* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))
(*.f64 (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 1/2 (/ (* (PI) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64) (PI.f64)))
(* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI)))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)))
(+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))

rewrite340.0ms (3.8%)

Memory
-7.3MiB live, 233.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048310
093262
1380253
23122250
09773245
Stop Event
iter limit
node limit
iter limit
Counts
23 → 874
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))

eval442.0ms (4.9%)

Memory
-7.7MiB live, 380.1MiB allocated
Compiler

Compiled 103 339 to 7 775 computations (92.5% saved)

prune123.0ms (1.4%)

Memory
22.3MiB live, 226.5MiB allocated
Pruning

56 alts after pruning (51 fresh and 5 done)

PrunedKeptTotal
New1 969372 006
Fresh151429
Picked325
Done033
Total1 987562 043
Accuracy
11.6%
Counts
2 043 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.8%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
10.9%
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
5.8%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
11.0%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
5.8%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
3.8%
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
3.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 9/4 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(approx (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(approx (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (PI.f64) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) #s(approx (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.6%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.9%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
10.9%
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 4 810 to 2 393 computations (50.2% saved)

simplify161.0ms (1.8%)

Memory
-21.7MiB live, 153.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff256
(neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff13696
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
cost-diff19584
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
cost-diff0
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff320
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
cost-diff192
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff13696
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072682
0135658
1269631
2730610
33466608
08559599
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
#s(literal -2 binary64)
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.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 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
(/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
#s(literal -2 binary64)
(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))
(fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (neg.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.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 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize385.0ms (4.3%)

Memory
20.5MiB live, 371.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy55.44509149147833
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy56.11636081311605
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
accuracy56.93037921393994
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy59.14057588705141
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(PI.f64)
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy57.0336895817616
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy1.3154139245014427
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy55.44509149147833
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Samples
302.0ms241×1valid
8.0ms15×0valid
Compiler

Compiled 1 330 to 152 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-mult: 79.0ms (32.2% of total)
adjust: 27.0ms (11% of total)
ival-add: 24.0ms (9.8% of total)
ival-div: 19.0ms (7.7% of total)
ival-asin: 17.0ms (6.9% of total)
ival-pow: 17.0ms (6.9% of total)
ival-pow2: 14.0ms (5.7% of total)
ival-acos: 14.0ms (5.7% of total)
ival-cbrt: 11.0ms (4.5% of total)
ival-sub: 9.0ms (3.7% of total)
ival-sqrt: 7.0ms (2.9% of total)
ival-neg: 6.0ms (2.4% of total)
ival-pi: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (1.2%)

Memory
-18.1MiB live, 103.2MiB allocated
Counts
23 → 28
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(PI.f64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (PI.f64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
Outputs
(- (* 1/2 (PI)) (asin (- 1 x)))
(* -1 (asin (- 1 x)))
(asin (- 1 x))
(+ (* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))) (* 1/2 (PI)))
(* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(* 4 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(acos (- 1 x))
(+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2)) (acos (- 1 x)))) (* (+ (PI) (* 2 (asin (- 1 x)))) (- (* 2 (/ (acos (- 1 x)) (PI))) 1)))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(* -1 (asin (+ 1 (* -1 x))))
(asin (+ 1 (* -1 x)))
(+ (* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))) (* 1/2 (PI)))
(* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(* 4 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI)))
(acos (+ 1 (* -1 x)))
(+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2)) (acos (+ 1 (* -1 x))))) (* (+ (PI) (* 2 (asin (+ 1 (* -1 x))))) (- (* 2 (/ (acos (+ 1 (* -1 x))) (PI))) 1)))
Calls

3 calls:

TimeVariablePointExpression
65.0ms
x
@0
((sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (* (cbrt (PI)) (cbrt (sqrt (PI)))) 1/2)) (neg (asin (- 1 x)))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (cbrt (pow (PI) 3/2)) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x))))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x)))) (* 1/2 (sqrt (PI))) (sqrt (PI)) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/ (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x))))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (sqrt (PI)) 1/2)) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))))) (cbrt (PI)) (acos (- 1 x)) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI))) (+ (* (/ 1/2 (acos (- 1 x))) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI)))) (* (+ (* (asin (- 1 x)) 2) (PI)) (+ (* (/ (acos (- 1 x)) (PI)) 2) -1))))
23.0ms
x
@inf
((sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (* (cbrt (PI)) (cbrt (sqrt (PI)))) 1/2)) (neg (asin (- 1 x)))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (cbrt (pow (PI) 3/2)) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x))))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x)))) (* 1/2 (sqrt (PI))) (sqrt (PI)) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/ (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x))))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (sqrt (PI)) 1/2)) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))))) (cbrt (PI)) (acos (- 1 x)) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI))) (+ (* (/ 1/2 (acos (- 1 x))) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI)))) (* (+ (* (asin (- 1 x)) 2) (PI)) (+ (* (/ (acos (- 1 x)) (PI)) 2) -1))))
18.0ms
x
@-inf
((sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (* (cbrt (PI)) (cbrt (sqrt (PI)))) 1/2)) (neg (asin (- 1 x)))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (cbrt (pow (PI) 3/2)) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x))))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x)))) (* 1/2 (sqrt (PI))) (sqrt (PI)) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/ (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x))))) (+ (* (sqrt (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2)))) (* (sqrt (PI)) 1/2)) (neg (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (- 1 x)))))) (cbrt (PI)) (acos (- 1 x)) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI))) (+ (* (/ 1/2 (acos (- 1 x))) (+ (* -4 (pow (asin (- 1 x)) 2)) (* (PI) (PI)))) (* (+ (* (asin (- 1 x)) 2) (PI)) (+ (* (/ (acos (- 1 x)) (PI)) 2) -1))))

simplify140.0ms (1.6%)

Memory
9.6MiB live, 45.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103600
1312600
2588600
31465526
45396498
08379458
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (asin (- 1 x)))
(* -1 (asin (- 1 x)))
(asin (- 1 x))
(+ (* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))) (* 1/2 (PI)))
(* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(* 4 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(acos (- 1 x))
(+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2)) (acos (- 1 x)))) (* (+ (PI) (* 2 (asin (- 1 x)))) (- (* 2 (/ (acos (- 1 x)) (PI))) 1)))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(* -1 (asin (+ 1 (* -1 x))))
(asin (+ 1 (* -1 x)))
(+ (* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))) (* 1/2 (PI)))
(* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(* 4 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI)))
(acos (+ 1 (* -1 x)))
(+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2)) (acos (+ 1 (* -1 x))))) (* (+ (PI) (* 2 (asin (+ 1 (* -1 x))))) (- (* 2 (/ (acos (+ 1 (* -1 x))) (PI))) 1)))
Outputs
(- (* 1/2 (PI)) (asin (- 1 x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* -1 (asin (- 1 x)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin (- 1 x))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(+ (* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x)))))) (* 1/2 (PI)))
(fma.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* -2 (/ (* (asin (- 1 x)) (+ (acos (- 1 x)) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (- 1 x))))))
(*.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))))
(* 4 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (/ (+ (asin (- 1 x)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (- 1 x)) 2) (pow (PI) 2))))) (acos (- 1 x)))) (* 2 (- (+ (asin (- 1 x)) (* 1/2 (PI))) (* 2 (/ (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) (PI))))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(- (* 1/2 (PI)) (acos (- 1 x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (- 1 x)) 2)) (pow (PI) 2)) (acos (- 1 x)))) (* (+ (PI) (* 2 (asin (- 1 x)))) (- (* 2 (/ (acos (- 1 x)) (PI))) 1)))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(* -1 (asin (+ 1 (* -1 x))))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(+ (* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x))))))) (* 1/2 (PI)))
(fma.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* -2 (/ (* (asin (+ 1 (* -1 x))) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))) (+ (PI) (* 2 (acos (+ 1 (* -1 x)))))))
(*.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))))
(* 4 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(* 2 (/ (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))
(* 1/4 (/ (* (PI) (- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(- (* 1/2 (/ (* (pow (PI) 2) (- 1 (* 4 (/ (pow (asin (+ 1 (* -1 x))) 2) (pow (PI) 2))))) (acos (+ 1 (* -1 x))))) (* 2 (- (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (PI))))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
(+ (* 1/2 (/ (+ (* -4 (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2)) (acos (+ 1 (* -1 x))))) (* (+ (PI) (* 2 (asin (+ 1 (* -1 x))))) (- (* 2 (/ (acos (+ 1 (* -1 x))) (PI))) 1)))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))

rewrite156.0ms (1.7%)

Memory
-10.3MiB live, 64.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072447
0135414
1565348
24937323
08877315
Stop Event
iter limit
node limit
iter limit
Counts
23 → 933
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(PI.f64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (PI.f64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))
Outputs
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64) (log.f64 (cbrt.f64 (PI.f64)))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))
(+.f64 (fma.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
(+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
(+.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))

eval157.0ms (1.7%)

Memory
2.4MiB live, 91.8MiB allocated
Compiler

Compiled 61 650 to 3 113 computations (95% saved)

prune95.0ms (1.1%)

Memory
12.7MiB live, 90.1MiB allocated
Pruning

64 alts after pruning (57 fresh and 7 done)

PrunedKeptTotal
New95626982
Fresh153146
Picked325
Done055
Total974641 038
Accuracy
11.6%
Counts
1 038 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.8%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
5.8%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
11.0%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.8%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))
4.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
5.8%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
10.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))))
5.8%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.0%
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
10.9%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.8%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
7.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
3.8%
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
3.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
10.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(approx (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(approx (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.6%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 (-.f64 (*.f64 (PI.f64) #s(approx (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.3%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
4.7%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.8%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (+.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
3.9%
(*.f64 (/.f64 (*.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (PI.f64))
7.6%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.9%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
3.9%
#s(approx (/ (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
10.9%
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.6%
#s(approx (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x))))) (fma.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 8 265 to 2 193 computations (73.5% saved)

regimes87.0ms (1%)

Memory
-6.1MiB live, 39.7MiB allocated
Counts
110 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* (/ -2 (+ (* (acos (- 1 x)) 2) (PI))) (* (+ (* 1/2 (PI)) (acos (- 1 x))) (asin (- 1 x))))) (fma.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))))
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(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (PI.f64) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(approx (- (* (PI) (/ (- 1 (pow (* (asin (- 1 x)) (/ 2 (PI))) 2)) (/ (acos (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 9/4 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

29.0ms
(-.f64 #s(literal 1 binary64) x)
28.0ms
x
23.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.0%1x
11.0%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.0%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (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
10.9%1x
10.9%1(-.f64 #s(literal 1 binary64) x)
10.9%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory
-33.5MiB live, 6.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

3.0ms
x
3.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
10.9%1x
10.9%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.9%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #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
10.9%1(-.f64 #s(literal 1 binary64) x)
10.9%1x
10.9%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #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
10.1%2(-.f64 #s(literal 1 binary64) x)
10.1%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.1%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.1%2(-.f64 #s(literal 1 binary64) x)
10.1%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.1%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

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

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 8 to 8 computations (0% saved)

bsearch15.0ms (0.2%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.7776667125986255e-17
1.4055119352440135e-15
Samples
9.0ms112×1valid
Compiler

Compiled 140 to 134 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-acos: 4.0ms (61.7% of total)
ival-sub: 1.0ms (15.4% of total)
adjust: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.7776667125986255e-17
1.4055119352440135e-15
Compiler

Compiled 84 to 92 computations (-9.5% saved)

simplify62.0ms (0.7%)

Memory
-29.6MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050138
176138
2113138
3199138
4355138
5605138
61277138
74258138
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

soundness719.0ms (8%)

Memory
7.2MiB live, 7.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048310
093262
1380253
23122250
09773245
01420
12920
26220
312620
419220
526220
628020
028020
079482
1255482
2532482
31370446
44734336
08197314
043342
081330
1352307
23202307
09656291
047
067
1287
21717
313857
093937
072447
0135414
1565348
24937323
08877315
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
Compiler

Compiled 314 to 154 computations (51% saved)

preprocess105.0ms (1.2%)

Memory
-4.9MiB live, 32.8MiB allocated
Compiler

Compiled 300 to 126 computations (58% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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