bug323 (missed optimization)

Time bar (total: 21.5s)

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
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time
Operation ival-acos, time spent: 0.0ms, 0.0% of total-time

sample2.6s (12.1%)

Results
1.3s4091×1024valid
538.0ms2110×512valid
229.0ms1800×256valid
226.0ms254×2048valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-acos, time spent: 748.0ms, 56.0% of total-time
Operation ival-sub, time spent: 334.0ms, 25.0% of total-time
Operation ival-<=, time spent: 183.0ms, 14.0% of total-time
Operation const, time spent: 39.0ms, 3.0% of total-time
Operation ival-and, time spent: 27.0ms, 2.0% of total-time
Bogosity

preprocess196.0ms (0.9%)

Algorithm
egg-herbie
Rules
54×fma-neg
30×fma-define
28×sub-neg
18×distribute-lft-neg-in
18×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(acos.f64 (-.f64 1 x))
00-0-x
00-0-(-.f64 1 x)
00-0-1
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 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (acos.f64 (+.f64 1 x)))
Results
76.0ms263×1024valid
20.0ms118×512valid
11.0ms106×256valid
11.0ms24×2048valid
0.0ms1024valid
Compiler

Compiled 27 to 20 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
Operation ival-acos, time spent: 41.0ms, 64.0% of total-time
Operation ival-sub, time spent: 20.0ms, 31.0% of total-time
Operation const, time spent: 4.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize69.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
8.0%
(acos.f64 (-.f64 1 x))
Results
33.0ms131×1024valid
12.0ms59×512valid
7.0ms53×256valid
5.0ms12×2048valid
0.0ms1024valid
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-acos, time spent: 19.0ms, 66.0% of total-time
Operation ival-sub, time spent: 8.0ms, 28.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series1.0ms (0%)

Counts
1 → 4
Calls
Call 1
Inputs
#<alt (acos.f64 (-.f64 1 x))>
Outputs
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
Calls

3 calls:

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

rewrite202.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
540×unpow-prod-down
390×log1p-expm1-u
390×expm1-log1p-u
373×add-exp-log
359×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18714
2102114
Stop Event
node limit
Counts
1 → 52
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

simplify91.0ms (0.4%)

Algorithm
egg-herbie
Rules
1018×times-frac
964×prod-exp
794×associate-+r+
764×fma-define
722×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561694
12911607
27481516
326771516
462921516
Stop Event
node limit
Counts
56 → 64
Calls
Call 1
Inputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

eval25.0ms (0.1%)

Compiler

Compiled 1047 to 881 computations (15.9% saved)

prune31.0ms (0.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New481664
Fresh000
Picked011
Done000
Total481765
Accuracy
11.1%
Counts
65 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
8.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
8.0%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
8.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
8.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
11.0%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
11.0%
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
8.0%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
8.0%
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
8.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
8.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
8.0%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
8.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 555 to 482 computations (13.2% saved)

localize3.4s (15.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.9%
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
10.7%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
8.0%
(acos.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
13.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
91.9%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
97.9%
(asin.f64 (-.f64 1 x))
10.9%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
97.9%
(asin.f64 (-.f64 1 x))
8.0%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
Results
3.1s255×2048valid
9.0ms2048valid
Compiler

Compiled 213 to 167 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.8s
Operation ival-asin, time spent: 625.0ms, 22.0% of total-time
Operation ival-acos, time spent: 616.0ms, 22.0% of total-time
Operation ival-log, time spent: 383.0ms, 14.0% of total-time
Operation ival-sub, time spent: 307.0ms, 11.0% of total-time
Operation ival-exp, time spent: 258.0ms, 9.0% of total-time
Operation ival-pow, time spent: 166.0ms, 6.0% of total-time
Operation ival-mult, time spent: 89.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 79.0ms, 3.0% of total-time
Operation composed, time spent: 69.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 58.0ms, 2.0% of total-time
Operation const, time spent: 33.0ms, 1.0% of total-time
Operation ival-neg, time spent: 33.0ms, 1.0% of total-time
Operation ival-e, time spent: 31.0ms, 1.0% of total-time
Operation ival-add, time spent: 29.0ms, 1.0% of total-time
Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

series296.0ms (1.4%)

Counts
13 → 88
Calls
Call 1
Inputs
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (sqrt.f64 (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))>
#<alt (log.f64 (acos.f64 (-.f64 1 x)))>
#<alt (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (sqrt.f64 (*.f64 (PI.f64) 1/2))>
#<alt (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))>
#<alt (+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))>
Outputs
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))>
#<alt (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))>
#<alt (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))))>
Calls

36 calls:

TimeVariablePointExpression
72.0ms
x
@inf
(log (cbrt (pow (exp (acos (- 1 x))) 2)))
50.0ms
x
@0
(pow (E) (log (acos (- 1 x))))
25.0ms
x
@-inf
(log (cbrt (exp (acos (- 1 x)))))
24.0ms
x
@inf
(pow (E) (log (acos (- 1 x))))
21.0ms
x
@0
(log (cbrt (pow (exp (acos (- 1 x))) 2)))

rewrite254.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1115×log1p-expm1-u
344×expm1-log1p-u
308×associate-*r*
200×add-exp-log
198×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032321
1501226
25931226
Stop Event
node limit
Counts
13 → 535
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
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(sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))

simplify133.0ms (0.6%)

Algorithm
egg-herbie
Rules
410×associate-*r*
384×fma-define
368×associate-*l*
210×distribute-lft-in
190×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0545790
11035790
24963790
Stop Event
unsound
Counts
623 → 283
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
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(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
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(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
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(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
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(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
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(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
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(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))
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(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
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(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
0
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
0
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
0
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
0
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))))
0
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
0
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
0
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
0
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
0
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
0
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
0
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
0
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
0
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
0
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
0
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
0
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
0
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
0
(acos.f64 (-.f64 1 x))
0
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
0
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
0
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
0
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
0
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
0
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0

eval997.0ms (4.6%)

Compiler

Compiled 32686 to 27619 computations (15.5% saved)

prune188.0ms (0.9%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1265221287
Fresh4711
Picked235
Done011
Total1271331304
Accuracy
11.2%
Counts
1304 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.1%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
8.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
8.0%
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
11.0%
(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
8.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
11.0%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
11.0%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
11.0%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
8.0%
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
11.0%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
8.0%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
11.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
8.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
8.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
8.0%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
8.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1337 to 1168 computations (12.6% saved)

localize3.6s (16.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
97.9%
(asin.f64 (-.f64 1 x))
8.0%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
100.0%
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
13.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
100.0%
(log1p.f64 (asin.f64 (-.f64 1 x)))
100.0%
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
97.9%
(asin.f64 (-.f64 1 x))
10.9%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
97.9%
(asin.f64 (-.f64 1 x))
98.5%
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
97.9%
(asin.f64 (-.f64 1 x))
8.0%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Results
3.2s255×2048valid
11.0ms2048valid
Compiler

Compiled 291 to 231 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.3s
Operation ival-asin, time spent: 1.1s, 33.0% of total-time
Operation composed, time spent: 602.0ms, 18.0% of total-time
Operation ival-sub, time spent: 373.0ms, 11.0% of total-time
Operation ival-acos, time spent: 231.0ms, 7.0% of total-time
Operation ival-log, time spent: 229.0ms, 7.0% of total-time
Operation ival-exp, time spent: 158.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 157.0ms, 5.0% of total-time
Operation ival-mult, time spent: 134.0ms, 4.0% of total-time
Operation ival-add, time spent: 88.0ms, 3.0% of total-time
Operation ival-pow, time spent: 86.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 71.0ms, 2.0% of total-time
Operation const, time spent: 49.0ms, 1.0% of total-time
Operation ival-neg, time spent: 46.0ms, 1.0% of total-time
Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

series65.0ms (0.3%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))>
#<alt (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)>
#<alt (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))>
#<alt (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))>
#<alt (log1p.f64 (asin.f64 (-.f64 1 x)))>
#<alt (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))>
#<alt (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))>
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))>
#<alt (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)>
Outputs
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (-.f64 1 x))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (asin.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))>
#<alt (cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))>
Calls

30 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
(log (+ 1 (asin (- 1 x))))
15.0ms
x
@inf
(log (+ 1 (asin (- 1 x))))
14.0ms
x
@0
(log (+ 1 (asin (- 1 x))))
2.0ms
x
@inf
(pow (cbrt (asin (- 1 x))) 2)
2.0ms
x
@-inf
(pow (cbrt (asin (- 1 x))) 2)

rewrite190.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1044×fma-define
824×log1p-expm1-u
823×expm1-log1p-u
792×fma-neg
234×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029276
1435192
24628192
Stop Event
node limit
Counts
10 → 601
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) -1)
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 1)
(-.f64 0 (asin.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
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(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))

simplify258.0ms (1.2%)

Algorithm
egg-herbie
Rules
884×distribute-lft-in
840×distribute-rgt-in
794×cancel-sign-sub-inv
770×associate-+r+
762×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047124420
194323328
2267521862
Stop Event
node limit
Counts
721 → 365
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
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(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
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(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
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(asin.f64 (+.f64 1 (*.f64 -1 x)))
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(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
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(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
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(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
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(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
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(asin.f64 (+.f64 1 (*.f64 -1 x)))
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(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
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(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
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(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
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(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
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(cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
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(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) -1)
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(+.f64 (-.f64 0 (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 1)
(-.f64 0 (asin.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
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(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
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(*.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

eval1.7s (8%)

Compiler

Compiled 83584 to 70085 computations (16.2% saved)

prune292.0ms (1.4%)

Pruning

55 alts after pruning (47 fresh and 8 done)

PrunedKeptTotal
New2819262845
Fresh32124
Picked145
Done044
Total2823552878
Accuracy
11.2%
Counts
2878 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.1%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
8.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
8.0%
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
11.0%
(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
8.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
11.0%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.9%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
11.0%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
6.2%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
8.0%
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
11.1%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
8.0%
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.2%
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) -1)))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)))
11.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
8.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
8.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
8.0%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
8.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2489 to 2170 computations (12.8% saved)

localize3.6s (16.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
97.9%
(asin.f64 (-.f64 1 x))
11.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
98.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
13.2%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
10.8%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
8.0%
(acos.f64 (-.f64 1 x))
100.0%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
8.0%
(acos.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
98.4%
(sqrt.f64 (PI.f64))
97.9%
(asin.f64 (-.f64 1 x))
13.2%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Results
3.3s255×2048valid
11.0ms2048valid
Compiler

Compiled 288 to 227 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.9s
Operation ival-asin, time spent: 696.0ms, 24.0% of total-time
Operation ival-acos, time spent: 409.0ms, 14.0% of total-time
Operation ival-log, time spent: 369.0ms, 13.0% of total-time
Operation composed, time spent: 368.0ms, 12.0% of total-time
Operation ival-sub, time spent: 249.0ms, 8.0% of total-time
Operation ival-exp, time spent: 217.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 165.0ms, 6.0% of total-time
Operation ival-mult, time spent: 150.0ms, 5.0% of total-time
Operation ival-cbrt, time spent: 101.0ms, 3.0% of total-time
Operation ival-pow, time spent: 82.0ms, 3.0% of total-time
Operation ival-add, time spent: 55.0ms, 2.0% of total-time
Operation const, time spent: 45.0ms, 2.0% of total-time
Operation ival-neg, time spent: 34.0ms, 1.0% of total-time
Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

series52.0ms (0.2%)

Counts
9 → 60
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))>
#<alt (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)>
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))>
#<alt (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))>
Outputs
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (-.f64 1 x))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
#<alt (acos.f64 (+.f64 1 (*.f64 -1 x)))>
Calls

21 calls:

TimeVariablePointExpression
15.0ms
x
@inf
(log (sqrt (exp (acos (- 1 x)))))
15.0ms
x
@-inf
(log (sqrt (exp (acos (- 1 x)))))
15.0ms
x
@0
(log (sqrt (exp (acos (- 1 x)))))
0.0ms
x
@0
(+ (* (* (sqrt (PI)) (sqrt 1/2)) (sqrt (* (PI) 1/2))) (neg (asin (- 1 x))))
0.0ms
x
@0
(+ (* (pow (cbrt (sqrt (* (PI) 1/2))) 3) (sqrt (* (PI) 1/2))) (neg (- (exp (log (+ 1 (asin (- 1 x))))) 1)))

rewrite176.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1120×log1p-expm1-u
407×expm1-log1p-u
334×associate-*r*
218×associate-*l*
201×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039246
1565159
25812159
Stop Event
node limit
Counts
9 → 264
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (PI.f64))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(+.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
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(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
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(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4))
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)))
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(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
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(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3/2)))
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(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
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(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
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(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
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(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
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(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

simplify116.0ms (0.5%)

Algorithm
egg-herbie
Rules
344×associate-*r*
314×associate-*l*
202×fma-define
156×*-commutative
138×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042812163
182212163
2347212163
Stop Event
unsound
Counts
324 → 214
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(+.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 1)
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(*.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
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(*.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
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(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) 3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4))
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
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(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))

eval1.0s (4.7%)

Compiler

Compiled 49246 to 41476 computations (15.8% saved)

prune220.0ms (1%)

Pruning

55 alts after pruning (44 fresh and 11 done)

PrunedKeptTotal
New1700141714
Fresh123042
Picked145
Done178
Total1714551769
Accuracy
11.2%
Counts
1769 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
11.1%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
11.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.2%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.2%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
11.1%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))))
11.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
8.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.9%
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
8.0%
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
8.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
11.0%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
11.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
8.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.9%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
11.0%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
8.0%
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
11.1%
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
11.0%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.2%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
11.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) -1)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)))
11.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
6.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
8.0%
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
8.0%
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
11.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))))
8.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
8.0%
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
8.0%
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
8.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
8.0%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
8.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
8.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2974 to 2546 computations (14.4% saved)

regimes57.0ms (0.3%)

Counts
79 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) -1)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))))
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
Outputs
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

34.0ms
x
9.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.1%1x
11.1%1(acos.f64 (-.f64 1 x))
11.1%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.2%)

Counts
54 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
Calls

3 calls:

22.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.1%1(-.f64 1 x)
11.1%1(acos.f64 (-.f64 1 x))
11.1%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.2%)

Counts
49 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

21.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.1%1(-.f64 1 x)
11.1%1x
11.1%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Calls

3 calls:

12.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.0%1(-.f64 1 x)
11.0%1(acos.f64 (-.f64 1 x))
11.0%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

8.0ms
x
3.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.0%1x
11.0%1(acos.f64 (-.f64 1 x))
11.0%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
Calls

3 calls:

14.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%2(acos.f64 (-.f64 1 x))
10.3%2(-.f64 1 x)
10.3%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
Calls

3 calls:

12.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%2x
10.3%2(-.f64 1 x)
10.3%2(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
Outputs
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

10.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%2x
10.3%2(-.f64 1 x)
10.3%2(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Calls

3 calls:

7.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%2x
10.3%2(acos.f64 (-.f64 1 x))
10.3%2(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
8.0%1x
8.0%1(-.f64 1 x)
8.0%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9802322387695313e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9802322387695313e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9802322387695313e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
68×unsub-neg
52×neg-mul-1
42×+-commutative
32×sub-neg
26×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062607
194607
2121607
3146607
4186607
5251607
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Outputs
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) -1) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (log.f64 (exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x)))) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 1 (asin.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 -1 (asin.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 184 to 160 computations (13% saved)

soundness1.3s (6.3%)

Rules
1120×log1p-expm1-u
1115×log1p-expm1-u
1044×fma-define
1018×times-frac
964×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047124420
194323328
2267521862
032321
1501226
25931226
029276
1435192
24628192
039246
1565159
25812159
01561694
12911607
27481516
326771516
462921516
0914
18714
2102114
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1187 to 979 computations (17.5% saved)

end0.0ms (0%)

preprocess126.0ms (0.6%)

Compiler

Compiled 376 to 310 computations (17.6% saved)

Profiling

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