bug323 (missed optimization)

Time bar (total: 8.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-acos: 0.0ms (0% of total)

sample1.3s (15.7%)

Results
1.1s8036×1valid
14.0ms220×0valid
Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-acos: 350.0ms (49.7% of total)
ival-sub: 152.0ms (21.6% of total)
backward-pass: 91.0ms (12.9% of total)
ival-<=: 78.0ms (11.1% of total)
const: 22.0ms (3.1% of total)
ival-and: 10.0ms (1.4% of total)
Bogosity

preprocess40.0ms (0.5%)

Algorithm
egg-herbie
Rules
27×fma-neg
15×fma-define
14×sub-neg
distribute-lft-neg-in
associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
12660
24060
37060
411160
515460
618060
718960
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))))
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(neg.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))

explain88.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(acos.f64 (-.f64 #s(literal 1 binary64) x))
00-0-x
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
Results
62.0ms504×1valid
0.0ms0valid
Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-acos: 24.0ms (63.7% of total)
ival-sub: 6.0ms (15.9% of total)
backward-pass: 6.0ms (15.9% of total)
const: 1.0ms (2.7% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize49.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Rules
sub-neg
fma-define
+-commutative
1-exp
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11629
22029
32729
43529
54529
65629
76829
87129
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Results
34.0ms252×1valid
0.0ms0valid
Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-acos: 15.0ms (69.1% of total)
ival-sub: 3.0ms (13.8% of total)
backward-pass: 3.0ms (13.8% of total)
const: 1.0ms (4.6% of total)

series2.0ms (0%)

Counts
2 → 16
Calls
Call 1
Inputs
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<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))))>
Calls

6 calls:

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

rewrite161.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
390×log1p-expm1-u
390×expm1-log1p-u
373×add-exp-log
359×add-log-exp
358×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
18724
2102124
Stop Event
node limit
Counts
2 → 113
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.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 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) 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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (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 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 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 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (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 #s(literal -1 binary64) 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))

simplify94.0ms (1.1%)

Algorithm
egg-herbie
Rules
724×fma-define
475×fma-neg
377×distribute-lft-in
346×distribute-rgt-in
342×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03073478
15853301
215873198
355863163
Stop Event
node limit
Counts
129 → 141
Calls
Call 1
Inputs
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.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 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) 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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (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 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 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 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (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 #s(literal -1 binary64) 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))
Outputs
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (/.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)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 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)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.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))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)

eval16.0ms (0.2%)

Compiler

Compiled 1872 to 429 computations (77.1% saved)

prune24.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New12912141
Fresh000
Picked011
Done000
Total12913142
Accuracy
9.3%
Counts
142 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
9.3%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
9.3%
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
5.9%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
9.3%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.4%
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
6.7%
(acos.f64 (neg.f64 x))
3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 409 to 208 computations (49.1% saved)

localize309.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff-128
(acos.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff12800
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff256
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff256
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
cost-diff0
(acos.f64 #s(literal 1 binary64))
cost-diff0
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff38976
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff39104
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy7.8%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy92.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy99.7%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
accuracy5.9%
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy100.0%
(acos.f64 #s(literal 1 binary64))
accuracy98.6%
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy98.6%
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Rules
599×fma-neg
533×exp-sum
415×fma-define
404×div-exp
390×prod-exp
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027797
144797
264608
3106384
4164348
5254348
6507348
71244348
83558348
95000348
105823348
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Results
153.0ms238×1valid
17.0ms18×2valid
Compiler

Compiled 148 to 22 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-acos: 26.0ms (22.3% of total)
ival-log: 20.0ms (17.1% of total)
backward-pass: 14.0ms (12% of total)
ival-asin: 12.0ms (10.3% of total)
ival-exp: 9.0ms (7.7% of total)
ival-sqrt: 7.0ms (6% of total)
ival-mult: 7.0ms (6% of total)
ival-sub: 6.0ms (5.1% of total)
ival-fma: 6.0ms (5.1% of total)
ival-div: 4.0ms (3.4% of total)
ival-neg: 2.0ms (1.7% of total)
ival-add: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)

series135.0ms (1.6%)

Counts
16 → 91
Calls
Call 1
Inputs
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 #s(literal 1 binary64))>
#<alt (acos.f64 (*.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))>
Outputs
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<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 #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 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
Calls

45 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log (sqrt (exp (acos (- 1 x)))))
24.0ms
x
@0
(log (acos (- 1 x)))
21.0ms
x
@inf
(log (sqrt (exp (acos (- 1 x)))))
18.0ms
x
@inf
(log (acos (- 1 x)))
14.0ms
x
@-inf
(log (sqrt (exp (acos (- 1 x)))))

rewrite203.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1117×log1p-expm1-u
806×expm1-log1p-u
178×add-exp-log
174×pow1
172×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027386
1408326
25132326
Stop Event
node limit
Counts
16 → 441
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(literal 1 binary64))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
Outputs
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
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(-.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))

simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
351×associate-*r*
310×associate-*l*
307×fma-define
140×fma-neg
138×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07436252
113806252
274936252
Stop Event
unsound
Counts
532 → 409
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
#s(literal -1 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
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(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(literal 0 binary64)
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(literal 0 binary64)
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(literal 0 binary64)
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(literal 0 binary64)
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(literal 0 binary64)
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(literal 0 binary64)
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 0 binary64)
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 0 binary64)
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 0 binary64)
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 0 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal 0 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal 0 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

eval153.0ms (1.8%)

Compiler

Compiled 25059 to 3558 computations (85.8% saved)

prune180.0ms (2.1%)

Pruning

59 alts after pruning (55 fresh and 4 done)

PrunedKeptTotal
New1121491170
Fresh167
Picked235
Done011
Total1124591183
Accuracy
9.5%
Counts
1183 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
4.7%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
9.3%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
9.3%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
9.3%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.9%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
7.9%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
9.3%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
6.4%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
6.7%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
5.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
2.1%
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
9.3%
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.8%
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
3.0%
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.2%
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
4.7%
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
4.8%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
4.0%
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.5%
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
6.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
4.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
4.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
6.0%
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
3.5%
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
4.7%
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
2.9%
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
4.0%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
3.2%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
4.7%
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
6.7%
(acos.f64 (neg.f64 x))
4.7%
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
4.7%
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.7%
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 2089 to 1234 computations (40.9% saved)

localize424.0ms (5%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff25792
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))
cost-diff25792
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
cost-diff12608
(cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))
cost-diff25472
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))
cost-diff25728
(*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))
cost-diff25728
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
cost-diff12864
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
cost-diff12864
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff13120
(*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff13120
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(acos.f64 (neg.f64 x))
cost-diff0
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff6336
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff38976
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff45440
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy98.6%
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy98.6%
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy6.1%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))
accuracy5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy99.2%
(cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))
accuracy98.8%
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))
accuracy91.1%
(expm1.f64 (neg.f64 (log.f64 x)))
accuracy5.9%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
accuracy99.0%
(cbrt.f64 x)
accuracy98.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
accuracy5.9%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(acos.f64 (neg.f64 x))
accuracy98.6%
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy11.1%
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Rules
488×fma-define
417×div-sub
358×fma-neg
358×cube-prod
325×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043977
183907
2162723
3379619
4769619
51384619
64478619
77379619
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(neg.f64 x)
x
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
x
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
#s(literal 3 binary64)
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))
x
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))
(cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
#s(literal 3 binary64)
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 #s(literal 1 binary64))
Outputs
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(neg.f64 x)
x
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
#s(literal 3 binary64)
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
x
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
#s(literal 3 binary64)
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 #s(literal 1 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))
(-.f64 (asin.f64 #s(literal 1 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 #s(literal 1 binary64))
Results
235.0ms238×1valid
26.0ms18×2valid
Compiler

Compiled 264 to 38 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-acos: 32.0ms (16.7% of total)
ival-pow: 23.0ms (12% of total)
backward-pass: 20.0ms (10.5% of total)
ival-asin: 17.0ms (8.9% of total)
ival-fma: 17.0ms (8.9% of total)
ival-cbrt: 15.0ms (7.8% of total)
ival-mult: 14.0ms (7.3% of total)
ival-log: 12.0ms (6.3% of total)
ival-expm1: 11.0ms (5.8% of total)
ival-neg: 8.0ms (4.2% of total)
ival-sub: 5.0ms (2.6% of total)
ival-add: 5.0ms (2.6% of total)
ival-div: 4.0ms (2.1% of total)
ival-sqrt: 4.0ms (2.1% of total)
ival-pi: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)

series75.0ms (0.9%)

Counts
19 → 188
Calls
Call 1
Inputs
#<alt (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (acos.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))>
#<alt (acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))>
#<alt (expm1.f64 (neg.f64 (log.f64 x)))>
#<alt (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))>
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))>
#<alt (+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))>
#<alt (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))>
Outputs
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
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#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
Calls

51 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(- (exp (neg (log x))) 1)
12.0ms
x
@0
(- (exp (neg (log x))) 1)
7.0ms
x
@0
(* x (pow (cbrt (- (exp (neg (log x))) 1)) 3))
5.0ms
x
@inf
(- (exp (neg (log x))) 1)
4.0ms
x
@0
(+ (* (cbrt (pow (* (PI) 1/2) 2)) (cbrt (* (PI) 1/2))) (neg (asin (- 1 x))))

rewrite126.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
316×log1p-expm1-u
315×expm1-log1p-u
307×add-cube-cbrt
304×add-exp-log
303×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043590
1732321
Stop Event
node limit
Counts
19 → 526
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(acos.f64 (neg.f64 x))
(neg.f64 x)
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(cbrt.f64 x)
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(expm1.f64 (neg.f64 (log.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))
(cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64)))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (PI.f64) (neg.f64 (acos.f64 x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x))
(-.f64 (PI.f64) (acos.f64 x))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 x)))
(*.f64 (sqrt.f64 (acos.f64 x)) (sqrt.f64 (acos.f64 x)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 x) (asin.f64 x)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (+.f64 (PI.f64) (acos.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 x) (asin.f64 x))) (acos.f64 x))
(pow.f64 (acos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 x))))
(cbrt.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 x)))
(log1p.f64 (expm1.f64 (acos.f64 x)))
(exp.f64 (log.f64 (acos.f64 x)))
(exp.f64 (*.f64 (log.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
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(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))

simplify217.0ms (2.6%)

Algorithm
egg-herbie
Rules
774×fma-neg
355×distribute-lft-neg-in
282×exp-prod
245×sub-neg
235×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07758589953050
115248589952542
247478589951329
Stop Event
node limit
Counts
714 → 484
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(acos.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(acos.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(acos.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))
(cbrt.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64)))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) #s(literal 1 binary64)))
(fma.f64 x x x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (-.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (-.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64)))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (asin.f64 #s(literal 1 binary64))))
Outputs
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
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(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(literal 1 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
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eval199.0ms (2.4%)

Compiler

Compiled 42418 to 4465 computations (89.5% saved)

prune230.0ms (2.7%)

Pruning

69 alts after pruning (64 fresh and 5 done)

PrunedKeptTotal
New1458191477
Fresh54550
Picked325
Done134
Total1467691536
Accuracy
9.5%
Counts
1536 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
5.9%
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
4.7%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
4.0%
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.0%
(+.f64 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
9.3%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
9.3%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.9%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 #s(literal 1 binary64))))
7.9%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
6.4%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
5.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
2.1%
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
9.3%
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.8%
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
3.0%
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.2%
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
4.9%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
4.8%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
4.0%
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.5%
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
6.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
4.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
8.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
3.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
8.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
6.8%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
5.2%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
4.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
6.0%
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
3.5%
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
4.7%
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
2.9%
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
4.0%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
3.2%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
4.7%
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
4.7%
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.7%
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
6.7%
(acos.f64 (cbrt.f64 x))
6.7%
(acos.f64 x)
Compiler

Compiled 2593 to 1549 computations (40.3% saved)

localize2.1s (25.1%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff38976
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff39104
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff39104
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff51904
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff0
(pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
cost-diff0
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
cost-diff12608
(expm1.f64 (neg.f64 (log.f64 x)))
cost-diff12864
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
cost-diff12864
(asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
cost-diff12864
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
cost-diff0
(acos.f64 x)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
cost-diff32256
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff38976
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy99.5%
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy98.6%
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy91.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy89.0%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
accuracy100.0%
(pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
accuracy93.0%
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
accuracy91.1%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy99.4%
(expm1.f64 (neg.f64 (log.f64 x)))
accuracy98.6%
(asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
accuracy93.2%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
accuracy14.1%
(PI.f64)
accuracy100.0%
(acos.f64 x)
accuracy98.6%
(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy93.7%
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy89.0%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy14.1%
(PI.f64)
Rules
424×fma-define
402×unsub-neg
367×fma-neg
346×sub-neg
341×distribute-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04012884902616
16812884902616
210912884902535
322512884902424
447812884902418
592512884902418
6324212884902418
7550512884902418
8796112884902418
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 x)
x
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
x
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
#s(literal 2 binary64)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3/2 binary64)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 x)
x
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
(-.f64 #s(literal 1 binary64) x)
x
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
#s(literal 2 binary64)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3/2 binary64)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
Results
1.9s227×5exit
27.0ms18×2valid
12.0ms11×1valid
Compiler

Compiled 304 to 35 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-pow: 638.0ms (36.9% of total)
ival-asin: 302.0ms (17.5% of total)
ival-expm1: 241.0ms (13.9% of total)
ival-log: 207.0ms (12% of total)
backward-pass: 87.0ms (5% of total)
ival-fma: 45.0ms (2.6% of total)
ival-cbrt: 37.0ms (2.1% of total)
ival-acos: 37.0ms (2.1% of total)
ival-mult: 32.0ms (1.8% of total)
ival-exp: 25.0ms (1.4% of total)
ival-neg: 22.0ms (1.3% of total)
ival-sqrt: 17.0ms (1% of total)
ival-sub: 14.0ms (0.8% of total)
ival-add: 13.0ms (0.8% of total)
ival-pi: 9.0ms (0.5% of total)
const: 3.0ms (0.2% of total)

series107.0ms (1.3%)

Counts
15 → 132
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 x)>
#<alt (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))>
#<alt (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))>
#<alt (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))>
#<alt (exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))>
#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
Outputs
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
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#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (log.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (log.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (log.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))>
Calls

36 calls:

TimeVariablePointExpression
34.0ms
x
@0
(pow (exp (acos (- 1 x))) 3/2)
18.0ms
x
@-inf
(log (+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x)))) (asin (- 1 x)))))
18.0ms
x
@inf
(log (+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x)))) (asin (- 1 x)))))
16.0ms
x
@0
(log (+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x)))) (asin (- 1 x)))))
1.0ms
x
@-inf
(pow (exp (acos (- 1 x))) 3/2)

rewrite122.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
277×log1p-expm1-u
276×expm1-log1p-u
270×add-exp-log
268×pow1
268×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040529
1623364
Stop Event
node limit
Counts
15 → 393
Calls
Call 1
Inputs
(PI.f64)
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 x)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
(-.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 x))
(*.f64 (acos.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (acos.f64 x)) (cbrt.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 x)))
(*.f64 (sqrt.f64 (acos.f64 x)) (sqrt.f64 (acos.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 x) (asin.f64 x)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 x) (asin.f64 x))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x)))
(pow.f64 (acos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 x))))
(cbrt.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 x)))
(log1p.f64 (expm1.f64 (acos.f64 x)))
(exp.f64 (log.f64 (acos.f64 x)))
(exp.f64 (*.f64 (log.f64 (acos.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64) (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (cbrt.f64 (pow.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (neg.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (acos.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
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(exp.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))

simplify202.0ms (2.4%)

Algorithm
egg-herbie
Rules
405×associate-+l+
302×distribute-lft-neg-in
280×sub-neg
280×distribute-rgt-neg-in
234×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06948589954597
114238589949461
242288589947781
Stop Event
node limit
Counts
525 → 439
Calls
Call 1
Inputs
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(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(log1p.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
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(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #s(literal 1 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))) (log.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))))
(-.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))

eval143.0ms (1.7%)

Compiler

Compiled 27131 to 3378 computations (87.5% saved)

prune179.0ms (2.1%)

Pruning

74 alts after pruning (65 fresh and 9 done)

PrunedKeptTotal
New1017121029
Fresh65359
Picked145
Done055
Total1024741098
Accuracy
9.5%
Counts
1098 → 74
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
4.7%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
5.9%
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
4.7%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
4.7%
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
9.3%
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.0%
(+.f64 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.1%
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
7.8%
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
9.3%
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.9%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
4.0%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
9.2%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 #s(literal 1 binary64))))
7.9%
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
6.4%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
9.2%
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))))
5.9%
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
5.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
2.1%
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
9.3%
(exp.f64 (log.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
9.3%
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
5.9%
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.7%
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.8%
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
3.0%
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
5.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.2%
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
4.9%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
4.8%
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
4.0%
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.5%
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
6.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
4.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
8.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
3.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
8.4%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
6.8%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
5.2%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
4.1%
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
6.0%
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
3.5%
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
4.7%
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
2.9%
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
4.0%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
3.2%
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
4.7%
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
4.7%
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
4.7%
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
6.7%
(acos.f64 (cbrt.f64 x))
6.7%
(acos.f64 x)
Compiler

Compiled 3182 to 1214 computations (61.8% saved)

regimes66.0ms (0.8%)

Counts
93 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))))
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

22.0ms
x
18.0ms
(-.f64 #s(literal 1 binary64) x)
17.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.3%1x
9.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.3%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes53.0ms (0.6%)

Counts
72 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
Calls

3 calls:

17.0ms
x
16.0ms
(-.f64 #s(literal 1 binary64) x)
14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.3%1x
9.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.3%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes50.0ms (0.6%)

Counts
70 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

17.0ms
x
14.0ms
(-.f64 #s(literal 1 binary64) x)
13.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes43.0ms (0.5%)

Counts
61 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (asin.f64 #s(literal 1 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 #s(literal 1 binary64))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

15.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.3%1x
9.3%1(-.f64 #s(literal 1 binary64) x)
9.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.4%)

Counts
53 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (expm1.f64 (log1p.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))))
(acos.f64 (cbrt.f64 (pow.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))
(acos.f64 (*.f64 x (pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(acos.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))
(acos.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))))
(acos.f64 (*.f64 x (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (cbrt.f64 x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3/2 binary64)))))
Outputs
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

14.0ms
x
10.0ms
(-.f64 #s(literal 1 binary64) x)
10.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.4%1(-.f64 #s(literal 1 binary64) x)
8.4%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.4%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))))
Outputs
(acos.f64 (cbrt.f64 x))
(exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
Calls

3 calls:

6.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.4%2(-.f64 #s(literal 1 binary64) x)
8.4%2x
8.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (cbrt.f64 x))
(acos.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
Outputs
(acos.f64 (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Calls

3 calls:

5.0ms
x
4.0ms
(-.f64 #s(literal 1 binary64) x)
4.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.4%2(-.f64 #s(literal 1 binary64) x)
8.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.4%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Outputs
(acos.f64 x)
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
x
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
8.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.4%2(-.f64 #s(literal 1 binary64) x)
8.4%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.4%2(-.f64 #s(literal 1 binary64) x)
8.4%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (neg.f64 x))
Outputs
(acos.f64 x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
6.7%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
(acos.f64 #s(literal 1 binary64))
Outputs
(acos.f64 #s(literal 1 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
3.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6590228001729996e-18
2.6947243422000606e-16
Results
11.0ms112×1valid
Compiler

Compiled 128 to 98 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-acos: 4.0ms (60.7% of total)
ival-sub: 1.0ms (15.2% of total)
backward-pass: 1.0ms (15.2% of total)
const: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6590228001729996e-18
2.6947243422000606e-16
Results
10.0ms112×1valid
Compiler

Compiled 114 to 84 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-acos: 4.0ms (64.8% of total)
ival-sub: 1.0ms (16.2% of total)
backward-pass: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6590228001729996e-18
2.6947243422000606e-16
Results
10.0ms112×1valid
Compiler

Compiled 107 to 77 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-acos: 4.0ms (65.8% of total)
ival-sub: 1.0ms (16.5% of total)
backward-pass: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6590228001729996e-18
2.6947243422000606e-16
Results
10.0ms112×1valid
Compiler

Compiled 79 to 63 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-acos: 4.0ms (65.4% of total)
ival-sub: 1.0ms (16.4% of total)
backward-pass: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×unsub-neg
19×neg-mul-1
17×+-commutative
12×*-commutative
10×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0588589935024
1858589935020
21058589935020
31248589935020
41538589935020
51978589935020
61998589935020
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 x) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 x)
(acos.f64 #s(literal 1 binary64))
Outputs
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (neg.f64 #s(literal 1 binary64)))))
(acos.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 (cbrt.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 x) (+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 x) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 x)
(acos.f64 #s(literal 1 binary64))

soundness942.0ms (11.2%)

Rules
1117×log1p-expm1-u
806×expm1-log1p-u
774×fma-neg
724×fma-define
475×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03073478
15853301
215873198
355863163
027386
1408326
25132326
0924
18724
2102124
07758589953050
115248589952542
247478589951329
043590
1732321
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1500 to 386 computations (74.3% saved)

preprocess83.0ms (1%)

Compiler

Compiled 360 to 118 computations (67.2% saved)

end0.0ms (0%)

Profiling

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