Details

Time bar (total: 9.3s)

analyze0.0ms (0%)

Algorithm
1×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)

sample1.9s (20.5%)

Results
1.2s4130×body1024valid
378.0ms2107×body512valid
175.0ms377×body2048valid
159.0ms1642×body256valid
Bogosity

preprocess14.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
196
2136
3196
4276
5376
6486
7606
8636
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
196
2136
3196
4276
5376
6486
7606
8636
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
59.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.6b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@0
(acos.f64 (-.f64 1 x))

rewrite32.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
554×pow1_binary64
518×add-log-exp_binary64
517×log1p-expm1-u_binary64
517×expm1-log1p-u_binary64
509×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11076
213366
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
378×fma-def_binary64
349×log-prod_binary64
340×associate-/l*_binary64
266×fma-neg_binary64
248×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057210
1145208
2493208
32241208
45279208
Stop Event
1×node limit
Counts
24 → 25
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 (*.f64 (PI.f64) 1/2) (neg.f64 (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 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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 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))))
(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))))
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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.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)
(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 (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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.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))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.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))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.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)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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))

eval6.0ms (0.1%)

Compiler

Compiled 307 to 248 computations (19.2% saved)

prune11.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New17825
Fresh000
Picked011
Done000
Total17926
Error
59.6b
Counts
26 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.6b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
59.6b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶59.6b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
59.6b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶59.6b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶59.6b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.6b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓59.6b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 221 to 186 computations (15.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.1b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)

rewrite40.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
900×pow1_binary64
845×add-log-exp_binary64
844×log1p-expm1-u_binary64
844×expm1-log1p-u_binary64
832×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11686
224726
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))))

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
773×times-frac_binary64
742×fma-def_binary64
475×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
276×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110778
1295735
21167727
37143727
Stop Event
1×node limit
Counts
53 → 58
Calls
Call 1
Inputs
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.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 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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))
(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 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
Outputs
(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 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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(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 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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 (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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.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 (PI.f64) (*.f64 1/4 (PI.f64)) (*.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))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/4 (PI.f64))) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (-.f64 2 (acos.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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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))
(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))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.7b
(asin.f64 (-.f64 1 x))
✓4.1b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(asin.f64 (-.f64 1 x))
0.0ms
x
@0
(asin.f64 (-.f64 1 x))

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
606×unpow-prod-down_binary64
429×log-prod_binary64
324×fma-def_binary64
323×exp-prod_binary64
256×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
119812
2261012
Stop Event
1×node limit
Counts
2 → 170
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
Outputs
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1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
644×associate-/r*_binary64
388×distribute-rgt-in_binary64
331×distribute-lft-in_binary64
326×fma-neg_binary64
245×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03513431
18162959
226022328
Stop Event
1×node limit
Counts
186 → 206
Calls
Call 1
Inputs
(-.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 (*.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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (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))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (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))) (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 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1))
(*.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 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1) (pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (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 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(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 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) -1)
(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))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (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 1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (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 (acos.f64 (-.f64 1 x)) 1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.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) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.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 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.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 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.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)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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)))) (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 (+.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.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 (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) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))))
(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)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.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))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.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 (acos.f64 (-.f64 1 x))))
(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))))
Outputs
(-.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 (*.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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.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))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (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 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
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(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(asin.f64 (-.f64 1 x))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(asin.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.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 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.1b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@inf
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

rewrite35.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
623×pow1_binary64
579×add-log-exp_binary64
579×log1p-expm1-u_binary64
579×expm1-log1p-u_binary64
568×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
11286
215196
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))))

simplify37.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
941×fma-def_binary64
339×log-prod_binary64
313×fma-neg_binary64
269×associate-*l*_binary64
224×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066308
1160292
2547292
32707292
46237292
Stop Event
1×node limit
Counts
35 → 30
Calls
Call 1
Inputs
(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 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.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 (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 (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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 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))))
Outputs
(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 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 0 (acos.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 (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 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(+.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 (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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.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))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.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))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.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)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓0.4b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 26 to 21 computations (19.2% saved)

series6.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms
x
@inf
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0.0ms
x
@-inf
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0.0ms
x
@0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)

rewrite42.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
788×pow1_binary64
745×add-log-exp_binary64
744×log1p-expm1-u_binary64
744×expm1-log1p-u_binary64
730×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
120315
2203015
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
489×associate-*l*_binary64
435×distribute-rgt-in_binary64
412×distribute-lft-in_binary64
395×associate-*r*_binary64
379×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097514
1233512
2627512
32908481
Stop Event
1×node limit
Counts
56 → 50
Calls
Call 1
Inputs
(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)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.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 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.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))
(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))))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(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 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))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(+.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 (*.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/6) 4)
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.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))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.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))
(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))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
✓1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓1.0b
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓3.8b
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 116 to 84 computations (27.6% saved)

series6.0ms (0.1%)

Counts
4 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@0
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@-inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
876×log-prod_binary64
474×fma-neg_binary64
317×expm1-udef_binary64
316×log1p-udef_binary64
261×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01863
140863
2535063
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Outputs
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simplify79.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
702×unswap-sqr_binary64
670×fma-neg_binary64
643×cancel-sign-sub-inv_binary64
466×times-frac_binary64
191×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03754707
18804593
229284559
Stop Event
1×node limit
Counts
190 → 203
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
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(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (/.f64 1 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))
(*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))) (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 1/16 (pow.f64 (PI.f64) 4))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3)
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (PI.f64) 2)) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (exp.f64 1/4) (pow.f64 (PI.f64) 2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 1/16 (pow.f64 (PI.f64) 4))) (-.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) -1/16 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) -1/4)))
(pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) 1/3)
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3)
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (PI.f64) 2)) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (exp.f64 1/4) (pow.f64 (PI.f64) 2))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))

eval297.0ms (3.2%)

Compiler

Compiled 15042 to 12052 computations (19.9% saved)

prune113.0ms (1.2%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New59329622
Fresh213
Picked101
Done055
Total59635631
Error
57.1b
Counts
631 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
59.6b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
60.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶57.4b
(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))
60.8b
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
60.8b
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
60.8b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
59.6b
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓59.6b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
59.6b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
59.6b
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
59.6b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
59.6b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓59.6b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (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)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
57.3b
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
57.3b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
▶59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶59.6b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
59.6b
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
59.6b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶59.6b
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
59.6b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
✓59.6b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.6b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
✓59.6b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1073 to 932 computations (13.1% saved)

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(asin.f64 (-.f64 1 x))
0.9b
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓55.4b
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Compiler

Compiled 136 to 101 computations (25.7% saved)

series22.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@0
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0.0ms
x
@inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0.0ms
x
@-inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
649×prod-diff_binary64
549×log-prod_binary64
328×pow2_binary64
223×expm1-udef_binary64
222×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01429
130319
2346019
Stop Event
1×node limit
Counts
1 → 166
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
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simplify116.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
650×unswap-sqr_binary64
581×fma-neg_binary64
449×distribute-rgt-in_binary64
363×cancel-sign-sub-inv_binary64
225×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04318562
111916579
233004489
Stop Event
1×node limit
Counts
178 → 204
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
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(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (*.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 5/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (*.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 5/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
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(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/8)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2) 1/2)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓3.9b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
0.0ms
x
@0
(+.f64 (acos.f64 (-.f64 1 x)) -1)
0.0ms
x
@-inf
(+.f64 (acos.f64 (-.f64 1 x)) -1)
0.0ms
x
@inf
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
0.0ms
x
@inf
(+.f64 (acos.f64 (-.f64 1 x)) -1)

rewrite43.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
941×pow1_binary64
881×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
118315
2251815
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)))))

simplify40.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
630×fma-neg_binary64
530×associate-/l*_binary64
431×cancel-sign-sub-inv_binary64
365×distribute-rgt-in_binary64
320×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01791606
14351552
216411399
Stop Event
1×node limit
Counts
103 → 98
Calls
Call 1
Inputs
(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 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
Outputs
(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 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)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (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 (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 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.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))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/4 (PI.f64))) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(acos.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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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))
(log.f64 (+.f64 1 (expm1.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))
(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))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓4.2b
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 38 to 31 computations (18.4% saved)

series50.0ms (0.5%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
16.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
11.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@0
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

rewrite41.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
763×pow1_binary64
708×add-log-exp_binary64
707×log1p-expm1-u_binary64
707×expm1-log1p-u_binary64
693×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
116019
2191019
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
555×log-prod_binary64
455×associate-*l/_binary64
427×associate-*l*_binary64
385×associate-*r*_binary64
323×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094656
1190581
2640577
34072555
Stop Event
1×node limit
Counts
52 → 51
Calls
Call 1
Inputs
(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 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.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 (acos.f64 (-.f64 1 x)) 1/2))
Outputs
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3/2)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(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))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(asin.f64 (-.f64 1 x))
✓0.9b
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
✓0.9b
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
✓58.7b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
Compiler

Compiled 56 to 46 computations (17.9% saved)

series38.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
12.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
12.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
0.0ms
x
@0
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
0.0ms
x
@inf
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
467×fma-def_binary64
342×pow2_binary64
251×fma-neg_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01447
130022
2376522
Stop Event
1×node limit
Counts
3 → 250
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
Outputs
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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))))

simplify100.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
434×fma-neg_binary64
392×unswap-sqr_binary64
285×sqr-pow_binary64
262×distribute-rgt-neg-in_binary64
231×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04794294973255
111214781
231744076
Stop Event
1×node limit
Counts
286 → 316
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (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))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (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))) (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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (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)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.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 (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 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.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))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (-.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (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 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) -1)
(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)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(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))))
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(fma.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 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(fma.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 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 -3 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -3 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) (*.f64 2/3 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) 1)) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))))))) (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 1/6 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(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)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (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))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.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))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.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 (acos.f64 (-.f64 1 x))))
(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))))
(asin.f64 (-.f64 1 x))
(+.f64 0 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (asin.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) 1/2)
(pow.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (cbrt.f64 (E.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) 1) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
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(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) 1) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9)))) (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9)))) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))) (sqrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(asin.f64 (-.f64 1 x))
✓1.0b
(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓1.0b
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
✓55.5b
(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))
Compiler

Compiled 51 to 41 computations (19.6% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@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))
4.0ms
x
@-inf
(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))
3.0ms
x
@inf
(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))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
0.0ms
x
@-inf
(cbrt.f64 (asin.f64 (-.f64 1 x)))

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
519×prod-diff_binary64
479×log-prod_binary64
287×pow2_binary64
274×pow-prod-down_binary64
200×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01347
127032
2311725
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(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))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 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x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))))))

simplify83.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
533×unswap-sqr_binary64
510×associate-/l*_binary64
344×distribute-rgt-in_binary64
329×distribute-lft-in_binary64
281×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03854294970270
18622630
225172346
Stop Event
1×node limit
Counts
196 → 198
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (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))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)))) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)))) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)))) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(+.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(-.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 (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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(neg.f64 (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)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(log.f64 (/.f64 1 (+.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 2/3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 2/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x))))) 3))
(+.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.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)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.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))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
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(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) -1)
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (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)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))

eval909.0ms (9.7%)

Compiler

Compiled 48422 to 39434 computations (18.6% saved)

prune412.0ms (4.4%)

Pruning

64 alts after pruning (56 fresh and 8 done)

PrunedKeptTotal
New1423411464
Fresh101525
Picked011
Done279
Total1435641499
Error
57.0b
Counts
1499 → 64
Alt Table
Click to see full alt table
StatusErrorProgram
57.3b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
60.8b
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
59.6b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
60.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
57.4b
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
57.3b
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (*.f64 (PI.f64) 1/2))
✓57.4b
(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))
60.8b
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
60.8b
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
57.3b
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
57.3b
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
57.4b
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
59.6b
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓59.6b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
59.6b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
57.4b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (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)))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶57.4b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.4b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (+.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
59.6b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓59.6b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (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)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
▶57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
60.8b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
60.8b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (asin.f64 (-.f64 1 x))))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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)))))))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
✓59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
✓59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
57.4b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.3b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
57.4b
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
57.4b
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
59.6b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
59.6b
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
✓59.6b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
59.6b
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.6b
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
59.6b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
59.6b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶59.6b
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
59.6b
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
59.6b
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3/2)))
▶59.6b
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
59.6b
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
59.6b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
✓59.6b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓59.6b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3400 to 2971 computations (12.6% saved)

localize71.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(asin.f64 (-.f64 1 x))
0.9b
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓55.4b
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
Compiler

Compiled 157 to 120 computations (23.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
0.0ms
x
@inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
0.0ms
x
@-inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
891×prod-diff_binary64
587×log-prod_binary64
348×pow2_binary64
238×expm1-udef_binary64
237×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01629
132319
2366719
Stop Event
1×node limit
Counts
1 → 165
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
Outputs
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simplify116.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
632×unswap-sqr_binary64
581×fma-neg_binary64
447×distribute-rgt-in_binary64
363×cancel-sign-sub-inv_binary64
225×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04308599
111856614
232904524
Stop Event
1×node limit
Counts
177 → 205
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(+.f64 (fma.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (PI.f64) 3/2)) (pow.f64 1/2 3/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2)) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(pow.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.2b
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 48 to 41 computations (14.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)

rewrite47.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
599×unpow-prod-down_binary64
561×prod-diff_binary64
444×fma-def_binary64
397×log-prod_binary64
247×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
12099
229069
Stop Event
1×node limit
Counts
1 → 98
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 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x)) 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (*.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8 1) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4)) (/.f64 1 (+.f64 1 (*.f64 -1/2 (acos.f64 (-.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) (-.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)))))

simplify58.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
440×fma-def_binary64
388×distribute-rgt-neg-in_binary64
313×div-sub_binary64
241×distribute-neg-in_binary64
235×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02251789
15211718
212381710
349561575
Stop Event
1×node limit
Counts
110 → 139
Calls
Call 1
Inputs
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))
(+.f64 1 (*.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1))
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 0)
(+.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) -1)
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 -1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1))
(+.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 1/2) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 1/8 1/3))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 1))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 1))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/2 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) 1))
(*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2) 3) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1/8 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) (acos.f64 (-.f64 1 x))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) 1/2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (-.f64 1 (*.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1)) (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 2)) (-.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8))
(hypot.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 0)
(fma.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) -1)
(fma.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1/2 0)
(fma.f64 1/2 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1 0)
(fma.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)
(fma.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (*.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))) 0)
(fma.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8 1) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) 0)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4)) (/.f64 1 (+.f64 1 (*.f64 -1/2 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) (-.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (*.f64 1/2 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
Outputs
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
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(/.f64 (+.f64 1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) (+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) -2) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 2)) (-.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1/2) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4))
(fabs.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 2) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2) (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 2)) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2))
(/.f64 1 (/.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4))
(fabs.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8))
(cbrt.f64 (*.f64 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(hypot.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1))))
(hypot.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)))))
(hypot.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1) (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(hypot.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (*.f64 1/2 (acos.f64 (-.f64 1 x))) -1/2))))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1/2 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (acos.f64 (-.f64 1 x)) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 1 -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) (*.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) -1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 2) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8 1) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)) -1)
(fma.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/8 1) (/.f64 1 (fma.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1) 1)) -1)
(fma.f64 (fma.f64 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1)) 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1) (fma.f64 1/2 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) -1)) 1)))
(+.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1) (fma.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (*.f64 1/2 (acos.f64 (-.f64 1 x))) -1/2) 1)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2) -1) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1) 2)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 1) 2)) (fma.f64 1/2 (acos.f64 (-.f64 1 x)) 2))
(/.f64 1 (/.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (-.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4)) (/.f64 1 (+.f64 1 (*.f64 -1/2 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/4)) (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1/2))) -1)
(fma.f64 (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1/4)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) -1/2 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1/4 1) (fma.f64 (acos.f64 (-.f64 1 x)) -1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 -1)) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) (-.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
✓0.0b
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓4.2b
(log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
5.3b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 64 to 55 computations (14.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
0.0ms
x
@-inf
(log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
0.0ms
x
@-inf
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@0
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@inf
(log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
549×prod-diff_binary64
423×log-prod_binary64
381×fma-def_binary64
257×pow2_binary64
250×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
122132
2306932
Stop Event
1×node limit
Counts
3 → 187
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
Outputs
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x)))) 2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) 1)))))

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
480×unswap-sqr_binary64
310×associate-/l*_binary64
292×sqr-pow_binary64
287×times-frac_binary64
275×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03724345
18224154
224944073
Stop Event
1×node limit
Counts
223 → 242
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.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 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.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 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
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(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))))
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(+.f64 (*.f64 1/4 (acos.f64 (-.f64 1 x))) (*.f64 1/4 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 1 1/2)) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1)) (log.f64 (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(-.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))))
(-.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))))
(*.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 1/4 (acos.f64 (-.f64 1 x))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (*.f64 3/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)
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(neg.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (*.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 1 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 1 (*.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 0)
(+.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(+.f64 0 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 -1 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
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(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
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(*.f64 (pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
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(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
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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)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (sqrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (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))
(hypot.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (sqrt.f64 (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(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))
(fma.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 1 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1) -1)
(fma.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 0)
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) -1)
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 0)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) 0)
(fma.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) 0)
(fma.f64 (+.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 1) (expm1.f64 (*.f64 1/4 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (/.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (expm1.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) (neg.f64 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) 1) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(fma.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) -1)
(fma.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1)
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) 1)
Outputs
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
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(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (acos.f64 (-.f64 1 x)))) (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(/.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (expm1.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) (neg.f64 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (acos.f64 (-.f64 1 x)))) (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (expm1.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) 1) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (acos.f64 (-.f64 1 x)))) (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (expm1.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) 1/2)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 1/3)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (/.f64 (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (+.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (acos.f64 (-.f64 1 x)))) (-.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(/.f64 (-.f64 1 (exp.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (expm1.f64 (acos.f64 (-.f64 1 x))) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) -1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1 -1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) -1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 1) 1)
(+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(asin.f64 (-.f64 1 x))
1.0b
(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓1.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
✓58.7b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Compiler

Compiled 82 to 69 computations (15.9% saved)

series65.0ms (0.7%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
40.0ms
x
@inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
11.0ms
x
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
11.0ms
x
@-inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
1.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
636×log-prod_binary64
469×fma-def_binary64
369×pow2_binary64
251×pow1/3_binary64
251×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01643
135617
2420617
Stop Event
1×node limit
Counts
2 → 178
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
779×fma-def_binary64
263×unswap-sqr_binary64
223×cancel-sign-sub-inv_binary64
207×fma-neg_binary64
205×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03574152
18183663
221002988
Stop Event
1×node limit
Counts
202 → 213
Calls
Call 1
Inputs
(-.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))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (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))) (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 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)) (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 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (-.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) -1)
(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)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(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 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (PI.f64) 1/2 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (pow.f64 (cbrt.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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12))
(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 2/3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 6))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
Outputs
(-.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)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(+.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 1 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (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))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(*.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6))
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 7))
(*.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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(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))
(*.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(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 2/3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 2/3) (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 6))
(pow.f64 (exp.f64 2/3) (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 2/3) (log.f64 (asin.f64 (-.f64 1 x))))

localize95.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 (asin.f64 (-.f64 1 x)))
1.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)
✓1.0b
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
✓55.3b
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
Compiler

Compiled 230 to 185 computations (19.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
1.0ms
x
@-inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
1.0ms
x
@inf
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
0.0ms
x
@-inf
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
0.0ms
x
@0
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)

rewrite96.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
786×prod-diff_binary64
716×log-prod_binary64
279×expm1-udef_binary64
278×log1p-udef_binary64
241×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02072
143228
2480128
Stop Event
1×node limit
Counts
2 → 240
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 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(-.f64 1 x)))) 1))))))

simplify135.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
577×distribute-rgt-in_binary64
533×unswap-sqr_binary64
387×fma-neg_binary64
227×+-commutative_binary64
184×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05668061
114755083
235774969
Stop Event
1×node limit
Counts
264 → 273
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.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) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 2) (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.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) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 5/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1)
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
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(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

eval1.3s (14.2%)

Compiler

Compiled 74277 to 60863 computations (18.1% saved)

prune534.0ms (5.7%)

Pruning

77 alts after pruning (69 fresh and 8 done)

PrunedKeptTotal
New1763311794
Fresh133851
Picked101
Done4812
Total1781771858
Error
56.9b
Counts
1858 → 77
Alt Table
Click to see full alt table
StatusErrorProgram
57.3b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
60.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
57.4b
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
60.8b
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
57.3b
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
57.3b
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
✓59.6b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
59.6b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.4b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.4b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
57.3b
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.2b
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.3b
(/.f64 (+.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
59.6b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓59.6b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
57.3b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
60.8b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.3b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 7)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
60.8b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
60.8b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (asin.f64 (-.f64 1 x))))))
57.4b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
✓59.6b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
57.4b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.3b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
57.4b
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
57.4b
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
59.6b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
59.6b
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
✓59.6b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
59.6b
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.6b
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
59.6b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
59.6b
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
✓59.6b
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
59.6b
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
59.6b
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
59.6b
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
57.4b
(*.f64 2 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))
59.6b
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))
59.6b
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
59.6b
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3/2)))
57.4b
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
57.4b
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
✓59.6b
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
59.6b
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
57.3b
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
59.6b
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
59.6b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
✓59.6b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓59.6b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2211 to 1934 computations (12.5% saved)

regimes134.0ms (1.4%)

Counts
110 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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))
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(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(/.f64 (+.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

46.0ms
x
10.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.2b1x
57.2b1(acos.f64 (-.f64 1 x))
57.2b1(-.f64 1 x)
Compiler

Compiled 2890 to 2410 computations (16.6% saved)

regimes129.0ms (1.4%)

Counts
109 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (pow.f64 (cbrt.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))) 1/6) 3)))
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (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 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.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))))
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 2) 3) (cbrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 4))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 5) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(/.f64 (+.f64 (fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

45.0ms
x
12.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 2797 to 2336 computations (16.5% saved)

regimes102.0ms (1.1%)

Counts
95 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
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(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
Calls

3 calls:

38.0ms
x
9.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 1938 to 1615 computations (16.7% saved)

regimes82.0ms (0.9%)

Counts
83 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (pow.f64 (cbrt.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))) 1/6) 3)))
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (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 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.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))))
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 2) 3) (cbrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 7)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
Calls

3 calls:

32.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 1410 to 1195 computations (15.2% saved)

regimes80.0ms (0.9%)

Counts
79 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (pow.f64 (cbrt.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))) 1/6) 3)))
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (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 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.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))))
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 2) 3) (cbrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

32.0ms
x
10.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 1273 to 1082 computations (15% saved)

regimes74.0ms (0.8%)

Counts
77 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (pow.f64 (cbrt.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))) 1/6) 3)))
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (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 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.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))))
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 12)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) 2) 3) (cbrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 6)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
Calls

3 calls:

29.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 1205 to 1031 computations (14.4% saved)

regimes51.0ms (0.5%)

Counts
55 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.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) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 2 (log.f64 (pow.f64 (cbrt.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))) 1/6) 3)))
(*.f64 2 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (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 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.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))))
(*.f64 2 (log.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)))
(*.f64 2 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) 2) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) 1/2 1)) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 12) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
Calls

3 calls:

22.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.3b1x
57.3b1(acos.f64 (-.f64 1 x))
57.3b1(-.f64 1 x)
Compiler

Compiled 712 to 613 computations (13.9% saved)

regimes30.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
Calls

3 calls:

16.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.0b2x
58.0b2(acos.f64 (-.f64 1 x))
58.0b2(-.f64 1 x)
Compiler

Compiled 198 to 172 computations (13.1% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
14.0ms
2.440563462626762e-20
1.475394256934273e-14
Results
12.0ms144×body256valid
Compiler

Compiled 216 to 196 computations (9.3% saved)

regimes29.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 1/8)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
Outputs
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

15.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.0b2x
58.0b2(acos.f64 (-.f64 1 x))
58.0b2(-.f64 1 x)
Compiler

Compiled 187 to 162 computations (13.4% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
0.0ms
0.9999999999999852
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

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

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
59.6b1x
59.6b1(acos.f64 (-.f64 1 x))
59.6b1(-.f64 1 x)
Compiler

Compiled 60 to 52 computations (13.3% saved)

regimes8.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1))
Outputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
59.6b1x
59.6b1(acos.f64 (-.f64 1 x))
59.6b1(-.f64 1 x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
Outputs
(acos.f64 (-.f64 1 x))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
59.6b1x
59.6b1(acos.f64 (-.f64 1 x))
59.6b1(-.f64 1 x)
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
20×+-commutative_binary64
11×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086599
1134599
2158599
3168599
4171599
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 (-.f64 1 x) 1) (*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -3 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/9))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) -3 (*.f64 (PI.f64) 1/2))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)))
(if (<=.f64 (-.f64 1 x) 1) (*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (*.f64 2 (+.f64 (+.f64 1 (*.f64 1/2 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))) -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (*.f64 2 (+.f64 -1 (+.f64 1 (*.f64 1/2 (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/2)) 1))
(*.f64 2 (+.f64 (+.f64 1 (*.f64 1/2 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))) -1))
(*.f64 2 (+.f64 -1 (+.f64 1 (*.f64 1/2 (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 381 to 326 computations (14.4% saved)

soundness72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
378×fma-def_binary64
349×log-prod_binary64
340×associate-/l*_binary64
266×fma-neg_binary64
248×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057210
1145208
2493208
32241208
45279208
Stop Event
1×node limit
Compiler

Compiled 210 to 173 computations (17.6% saved)

end184.0ms (2%)

Compiler

Compiled 370 to 305 computations (17.6% saved)

Profiling

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