Ian Simplification

Time bar (total: 12.5s)

analyze5.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (40% of total)
ival-asin: 1.0ms (40% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.6s (28.9%)

Results
1.6s4804×1valid
1.6s3275×2valid
15.0ms177×0valid
0.0ms3×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-asin: 1.1s (46.7% of total)
ival-div: 350.0ms (14.3% of total)
ival-sub: 221.0ms (9% of total)
backward-pass: 204.0ms (8.3% of total)
ival-sqrt: 186.0ms (7.6% of total)
ival-mult: 179.0ms (7.3% of total)
ival-pi: 138.0ms (5.6% of total)
const: 27.0ms (1.1% of total)
Bogosity

preprocess85.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
233×fma-neg
181×fma-define
59×cancel-sign-sub-inv
52×sub-neg
49×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024188
155180
2105164
3224152
4382144
5610144
6798144
7982144
81086144
91124144
101131144
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))))))
(neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

explain322.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
00-0-(PI.f64)
00-0-x
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
Results
98.0ms296×1valid
156.0ms208×2valid
1.0ms8×0valid
Compiler

Compiled 118 to 35 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-sqrt: 66.0ms (33.3% of total)
ival-asin: 61.0ms (30.8% of total)
backward-pass: 19.0ms (9.6% of total)
ival-div: 18.0ms (9.1% of total)
ival-sub: 13.0ms (6.6% of total)
ival-mult: 13.0ms (6.6% of total)
ival-pi: 6.0ms (3% of total)
const: 2.0ms (1% of total)

eval1.0ms (0%)

Compiler

Compiled 59 to 23 computations (61% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize213.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓accuracy8.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Rules
106×fma-define
71×fma-neg
31×sub-neg
18×cancel-sign-sub-inv
17×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016162
134162
248158
374158
4108138
5154138
6232138
7311138
8376138
9473138
10537138
11541138
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Results
43.0ms148×1valid
119.0ms104×2valid
0.0ms4×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-sub: 73.0ms (53.9% of total)
ival-asin: 31.0ms (22.9% of total)
ival-div: 9.0ms (6.6% of total)
backward-pass: 8.0ms (5.9% of total)
ival-sqrt: 6.0ms (4.4% of total)
ival-mult: 5.0ms (3.7% of total)
ival-pi: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)

series12.0ms (0.1%)

Counts
7 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))>
#<alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>
#<alt (PI.f64)>
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))>
Outputs
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
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#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
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#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@-inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@0
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms
x
@0
(sqrt (/ (- 1 x) 2))
1.0ms
x
@inf
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

rewrite331.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1153×log1p-expm1-u
1153×expm1-log1p-u
340×fma-define
195×fma-neg
193×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016140
1232136
23138136
Stop Event
1×node limit
Counts
7 → 256
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
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(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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))

simplify239.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
457×cancel-sign-sub-inv
414×times-frac
378×fma-neg
375×distribute-lft-neg-in
368×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055311404
1116811013
2354410929
Stop Event
1×node limit
Counts
316 → 353
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
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(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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
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eval56.0ms (0.4%)

Compiler

Compiled 8105 to 1391 computations (82.8% saved)

prune57.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New34013353
Fresh000
Picked011
Done000
Total34014354
Accuracy
9.8%
Counts
354 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.2%
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
2.0%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
6.6%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
6.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
▶8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
6.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶6.6%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
6.6%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Compiler

Compiled 616 to 383 computations (37.8% saved)

localize985.0ms (7.9%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff26176
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff19712
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓cost-diff-6272
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
✓cost-diff6528
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
✓cost-diff0
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓accuracy100.0%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy98.5%
(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
✓accuracy6.4%
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy98.5%
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy8.2%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
✓accuracy8.2%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
✓accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy8.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
Rules
788×fma-neg
545×exp-prod
320×distribute-rgt-out--
284×cancel-sign-sub-inv
272×sub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036963
166963
2132851
3306835
4549835
51026827
62205827
74041827
86447827
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal -2 binary64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal -2 binary64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
Results
746.0ms256×2valid
Compiler

Compiled 323 to 31 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 604.0ms
ival-acos: 230.0ms (38.1% of total)
backward-pass: 87.0ms (14.4% of total)
ival-asin: 80.0ms (13.3% of total)
ival-log: 47.0ms (7.8% of total)
ival-mult: 41.0ms (6.8% of total)
ival-exp: 27.0ms (4.5% of total)
ival-fma: 25.0ms (4.1% of total)
ival-sqrt: 20.0ms (3.3% of total)
ival-sub: 16.0ms (2.7% of total)
ival-pow: 10.0ms (1.7% of total)
ival-cbrt: 7.0ms (1.2% of total)
ival-div: 7.0ms (1.2% of total)
ival-pi: 4.0ms (0.7% of total)
const: 2.0ms (0.3% of total)

series94.0ms (0.8%)

Counts
18 → 168
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))>
#<alt (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))>
#<alt (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))>
#<alt (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))>
Outputs
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
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#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
Calls

42 calls:

TimeVariablePointExpression
57.0ms
x
@0
(pow (cbrt (asin (sqrt (- 1/2 (* x 1/2))))) 2)
3.0ms
x
@0
(sqrt (- 1/2 (* x 1/2)))
2.0ms
x
@0
(cbrt (asin (sqrt (- 1/2 (* x 1/2)))))
2.0ms
x
@-inf
(pow (cbrt (asin (sqrt (- 1/2 (* x 1/2))))) 2)
2.0ms
x
@inf
(pow (cbrt (asin (sqrt (- 1/2 (* x 1/2))))) 2)

rewrite331.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
956×log1p-expm1-u
225×expm1-log1p-u
219×add-exp-log
219×add-log-exp
219×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035474
1571474
26730474
Stop Event
1×node limit
Counts
18 → 569
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
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(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1/6 binary64)) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (sqrt.f64 (exp.f64 (PI.f64))))
(*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))

simplify504.0ms (4%)

Algorithm
1×egg-herbie
Rules
847×fma-neg
425×associate-*r*
359×associate-*l*
356×fma-define
294×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082538414
1170733272
2604233124
Stop Event
1×node limit
Counts
737 → 545
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
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(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
Outputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
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(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (sqrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))

eval206.0ms (1.6%)

Compiler

Compiled 35667 to 4042 computations (88.7% saved)

prune530.0ms (4.2%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New126981277
Fresh088
Picked145
Done011
Total1270211291
Accuracy
9.9%
Counts
1291 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.2%
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
✓6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶4.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
2.0%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
6.6%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
6.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
5.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
6.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶3.8%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
▶8.1%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
6.3%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))))
6.6%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
▶6.6%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Compiler

Compiled 816 to 545 computations (33.2% saved)

localize950.0ms (7.6%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
✓cost-diff12864
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
✓cost-diff32576
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff6528
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓cost-diff-6272
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
✓cost-diff6784
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy98.4%
(pow.f64 (PI.f64) #s(literal 3 binary64))
✓accuracy98.4%
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
✓accuracy6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy98.4%
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓accuracy100.0%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy8.2%
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy100.0%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy8.2%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
✓accuracy8.2%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
Rules
654×fma-define
552×exp-sum
549×exp-diff
415×associate-+l-
380×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0441175
1791051
21321045
3240991
4431979
5771979
61723979
76110979
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
Outputs
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(exp.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64))
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(log1p.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
Results
219.0ms149×1valid
389.0ms105×2valid
1.0ms2×0valid
Compiler

Compiled 380 to 39 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-asin: 85.0ms (22% of total)
ival-acos: 64.0ms (16.6% of total)
ival-mult: 38.0ms (9.9% of total)
ival-log: 37.0ms (9.6% of total)
backward-pass: 35.0ms (9.1% of total)
ival-fma: 30.0ms (7.8% of total)
ival-sqrt: 29.0ms (7.5% of total)
ival-exp: 23.0ms (6% of total)
ival-pow: 11.0ms (2.9% of total)
ival-sub: 7.0ms (1.8% of total)
ival-add: 7.0ms (1.8% of total)
ival-cbrt: 6.0ms (1.6% of total)
ival-log1p: 5.0ms (1.3% of total)
ival-pi: 4.0ms (1% of total)
ival-expm1: 4.0ms (1% of total)
const: 2.0ms (0.5% of total)

series119.0ms (0.9%)

Counts
19 → 168
Calls
Call 1
Inputs
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))>
#<alt (log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))>
#<alt (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))>
#<alt (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))>
#<alt (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))>
#<alt (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (pow.f64 (PI.f64) #s(literal 3 binary64))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))>
#<alt (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))>
Outputs
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
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#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
Calls

42 calls:

TimeVariablePointExpression
37.0ms
x
@0
(log (+ 1 (+ (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2) (* 1/2 (PI)))))
29.0ms
x
@inf
(log (+ 1 (+ (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2) (* 1/2 (PI)))))
24.0ms
x
@-inf
(log (+ 1 (+ (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2) (* 1/2 (PI)))))
4.0ms
x
@-inf
(+ (* (PI) 1/2) (* 2 (asin (sqrt (+ 1/2 (* x -1/2))))))
1.0ms
x
@0
(+ (* (* -2 (sqrt (asin (sqrt (- 1/2 (* x 1/2)))))) (sqrt (asin (sqrt 1/2)))) (* (PI) 1/2))

rewrite199.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
285×log1p-expm1-u
284×expm1-log1p-u
275×add-exp-log
274×add-log-exp
274×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044633
1682469
Stop Event
1×node limit
Counts
19 → 659
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
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(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal -2 binary64)) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify628.0ms (5%)

Algorithm
1×egg-herbie
Rules
790×fma-neg
499×distribute-lft-neg-in
365×associate-*r*
344×associate-*l*
333×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079737865
1169036742
2544836310
Stop Event
1×node limit
Counts
827 → 497
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal -2 binary64)) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))
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(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))

eval172.0ms (1.4%)

Compiler

Compiled 24051 to 4043 computations (83.2% saved)

prune142.0ms (1.1%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New9915996
Fresh01111
Picked325
Done055
Total994231017
Accuracy
9.9%
Counts
1017 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.2%
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶4.8%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
✓6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶4.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
✓4.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
2.0%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
6.6%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
6.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
5.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
6.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶3.8%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.3%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))))
▶6.6%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
▶8.1%
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
6.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Compiler

Compiled 857 to 575 computations (32.9% saved)

localize1.1s (8.7%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff6592
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
✓cost-diff12864
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff256
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
cost-diff0
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff512
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy98.4%
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
accuracy98.4%
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
accuracy98.5%
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
accuracy98.5%
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy98.4%
(sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓accuracy6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy8.2%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
✓accuracy8.2%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓accuracy8.2%
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓accuracy8.2%
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
Rules
553×exp-prod
539×fma-define
406×exp-sum
325×fma-neg
319×associate--r-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511201
11051081
21781081
33071045
44861033
57501033
613491033
739071033
874741033
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
(sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
Outputs
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (neg.f64 (PI.f64)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
Results
382.0ms149×1valid
477.0ms105×2valid
1.0ms2×0valid
Compiler

Compiled 388 to 46 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 549.0ms
ival-sqrt: 98.0ms (17.8% of total)
ival-asin: 97.0ms (17.7% of total)
ival-acos: 83.0ms (15.1% of total)
ival-log: 69.0ms (12.6% of total)
ival-mult: 48.0ms (8.7% of total)
ival-exp: 43.0ms (7.8% of total)
backward-pass: 38.0ms (6.9% of total)
ival-sub: 18.0ms (3.3% of total)
ival-pow: 18.0ms (3.3% of total)
ival-fma: 14.0ms (2.5% of total)
ival-add: 12.0ms (2.2% of total)
ival-cbrt: 5.0ms (0.9% of total)
ival-pi: 3.0ms (0.5% of total)
const: 2.0ms (0.4% of total)

series20.0ms (0.2%)

Counts
12 → 72
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))>
#<alt (log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))>
Outputs
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ (* (* -2 (sqrt (asin (sqrt (- 1/2 (* x 1/2)))))) (sqrt (- (* (PI) 1/2) (acos (sqrt 1/2))))) (* (PI) 1/2))
1.0ms
x
@-inf
(+ (* (* -2 (sqrt (asin (sqrt (- 1/2 (* x 1/2)))))) (sqrt (- (* (PI) 1/2) (acos (sqrt 1/2))))) (* (PI) 1/2))
1.0ms
x
@inf
(+ (* (* -2 (sqrt (asin (sqrt (- 1/2 (* x 1/2)))))) (sqrt (- (* (PI) 1/2) (acos (sqrt 1/2))))) (* (PI) 1/2))
0.0ms
x
@0
(+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))
0.0ms
x
@inf
(log (exp (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))))

rewrite174.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
296×log1p-expm1-u
296×expm1-log1p-u
289×add-cube-cbrt
287×add-exp-log
286×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049499
1854341
Stop Event
1×node limit
Counts
12 → 491
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))
Outputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
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(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))

simplify451.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
593×distribute-lft-neg-in
341×associate-*r*
338×fma-define
311×associate-*l*
259×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065432090
1150529448
2534327494
Stop Event
1×node limit
Counts
563 → 362
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
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(neg.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -6 binary64)))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
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(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))

eval185.0ms (1.5%)

Compiler

Compiled 25886 to 4033 computations (84.4% saved)

prune162.0ms (1.3%)

Pruning

24 alts after pruning (12 fresh and 12 done)

PrunedKeptTotal
New103511036
Fresh01111
Picked055
Done077
Total1035241059
Accuracy
9.9%
Counts
1059 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.2%
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
4.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓4.8%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓6.3%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
✓6.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓4.5%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
✓4.6%
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
6.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
2.0%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
6.6%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
6.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓8.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
5.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
6.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓3.8%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.3%
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))))
✓6.6%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
✓8.1%
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
6.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Compiler

Compiled 1082 to 486 computations (55.1% saved)

regimes63.0ms (0.5%)

Counts
28 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
Outputs
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Calls

7 calls:

12.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.0ms
(-.f64 #s(literal 1 binary64) x)
9.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.0ms
x
7.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.1%1x
8.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.1%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes30.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
Calls

7 calls:

9.0ms
x
5.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
3.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
3.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.1%1x
8.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.1%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes17.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Calls

7 calls:

3.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
6.6%1x
6.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
6.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
6.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
6.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
6.6%1(-.f64 #s(literal 1 binary64) x)
6.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
4.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
3.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify48.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
243×unsub-neg
136×neg-mul-1
91×distribute-lft-neg-in
72×distribute-neg-out
52×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041226
186226
2126226
3152226
4186226
5213226
6230226
7341226
8629226
9821226
10834226
11874226
12926226
13980226
141029226
151066226
161073226
171081226
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
Outputs
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))

soundness407.0ms (3.3%)

Rules
1153×log1p-expm1-u
1153×expm1-log1p-u
956×log1p-expm1-u
340×fma-define
225×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016140
1232136
23138136
035474
1571474
26730474
Stop Event
1×fuel
1×node limit
1×node limit
Compiler

Compiled 790 to 271 computations (65.7% saved)

preprocess54.0ms (0.4%)

Compiler

Compiled 170 to 88 computations (48.2% saved)

end0.0ms (0%)

Profiling

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