Details

Time bar (total: 2.4s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample974.0ms (41%)

Results
962.0ms8255×body64valid
1.0ms6×body64invalid
0.0ms1×body128valid

preprocess50.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
1332×fma-def_binary64
576×fma-neg_binary64
553×distribute-rgt-in_binary64
496×unsub-neg_binary64
440×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496826
5174724
6370624
7636624
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify39.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1332×fma-def_binary64
576×fma-neg_binary64
553×distribute-rgt-in_binary64
496×unsub-neg_binary64
440×distribute-lft-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496826
5174724
6370624
7636624
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
▶0.0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Compiler

Compiled 113 to 85 computations (24.8% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
✓0.0b
(/.f64 -4/3 (fma.f64 v v -1))
✓0.0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

series10.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
2.0ms
v
@inf
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
1.0ms
v
@-inf
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
1.0ms
v
@inf
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0ms
v
@0
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

rewrite68.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
686×log-prod_binary64
362×pow2_binary64
255×pow1/3_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
129446
2367946
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 -4/3 (fma.f64 v v -1))
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 (/.f64 1 (fma.f64 v v 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 v v -1)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16/9 (pow.f64 (fma.f64 v v -1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v v -1) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 v v -1) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (fma.f64 v v -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))

simplify48.0ms (2%)

Algorithm
1×egg-herbie
Rules
893×fma-def_binary64
484×associate-/r*_binary64
425×associate-*l*_binary64
420×times-frac_binary64
414×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01891656
16171582
221101505
Stop Event
1×node limit
Counts
139 → 165
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (*.f64 4/3 (pow.f64 v 2))))
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (+.f64 (*.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2)))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(*.f64 (sqrt.f64 2) (PI.f64))
(+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 -27/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64)))
(+.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -4/3 (*.f64 v v))))
(fma.f64 (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (*.f64 v v)) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 4) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) -4/3))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (fma.f64 v (*.f64 v (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (+.f64 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 (*.f64 -4/3 (pow.f64 v 6)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (+.f64 27/2 (*.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 4) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) -4/3)))))
(fma.f64 (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))) (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -4/3 (pow.f64 v 6)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (fma.f64 v (*.f64 v (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(*.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(*.f64 -4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))))
(fma.f64 -4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))))
(fma.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))) (/.f64 (fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(*.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(*.f64 4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))
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4/3
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(fma.f64 -1 (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) (*.f64 (/.f64 1/2 (pow.f64 v 3)) (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) -6))))
(-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6))) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))))
(fma.f64 -1 (*.f64 (sqrt.f64 -6) (*.f64 (PI.f64) v)) (fma.f64 -1 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))))
(fma.f64 -1 (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) -6))) (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6)))) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))

prune419.0ms (17.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1641165
Fresh101
Picked011
Done000
Total1652167
Error
0b
Counts
167 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
▶1.0b
(*.f64 (/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
Compiler

Compiled 4622 to 3564 computations (22.9% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
0.0b
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
✓0.0b
(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
✓1.0b
(*.f64 (/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))

series12.0ms (0.5%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
3.0ms
v
@0
(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
2.0ms
v
@-inf
(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
1.0ms
v
@inf
(/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
1.0ms
v
@-inf
(/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))

rewrite93.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
837×log-prod_binary64
300×expm1-udef_binary64
300×log1p-udef_binary64
279×pow3_binary64
256×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01872
137467
2458867
Stop Event
1×node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 (/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
Outputs
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simplify80.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
614×times-frac_binary64
545×associate-/r*_binary64
373×fma-def_binary64
343×associate-*l/_binary64
337×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02463407
18472904
232252483
Stop Event
1×node limit
Counts
162 → 197
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 -1 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))) (*.f64 -1 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -45/32 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))))) (*.f64 -1 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -405/128 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (+.f64 (*.f64 -45/32 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 1/2 1/4))) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -45/32 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))))) (*.f64 -1 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))))))))
(+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 5/1152 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64)))))))))))))
(*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))))))
(+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 5/1152 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 5/288 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 8)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))))))))))
(*.f64 -4/3 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))) (*.f64 -15/8 (*.f64 (pow.f64 v 4) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -135/32 (*.f64 (pow.f64 v 6) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))) (*.f64 -15/8 (*.f64 (pow.f64 v 4) (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 1 (PI.f64)))))))))
(*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -5/216 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -5/864 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -5/216 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (*.f64 -5/216 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (*.f64 -5/864 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -5/216 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 -4/3 (*.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (fma.f64 (/.f64 -1/2 (PI.f64)) (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (pow.f64 v 4)))))
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(+.f64 (*.f64 -5/864 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -5/216 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (pow.f64 v 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -4/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 v))) (log.f64 -1/6)))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 -5/864 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (pow.f64 v 6))) (fma.f64 -5/216 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (pow.f64 v 4))) (fma.f64 -1/9 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (*.f64 v v))) (*.f64 -4/3 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (*.f64 v v)) -1/9) (*.f64 -4/3 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6)))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (pow.f64 v 6)) -5/864) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 (/.f64 -1 v)) (log.f64 -1/6))) (pow.f64 v 4)) -5/216))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 -1 v) 1/2) (pow.f64 -1/6 1/4))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 v) 1/2) v) (/.f64 (pow.f64 -1/6 1/4) v)) -1/9)) (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 v) 1/2) (pow.f64 -1/6 1/4)) (pow.f64 v 6)) -5/864) (/.f64 -5/216 (/.f64 (pow.f64 v 4) (*.f64 (pow.f64 (/.f64 -1 v) 1/2) (pow.f64 -1/6 1/4)))))))

prune518.0ms (21.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2870287
Fresh000
Picked011
Done011
Total2872289
Error
0b
Counts
289 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
✓1.0b
(*.f64 (/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
Compiler

Compiled 12269 to 9613 computations (21.6% saved)

regimes14.0ms (0.6%)

Accuracy

Total -1.0b remaining (-7029.4%)

Threshold costs -1.0b (-7029.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 -4/3 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Results
4.0ms0.0bv
4.0ms0.0b(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
2.0ms0.0b(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
2.0ms0.0b(*.f64 v v)
Compiler

Compiled 113 to 82 computations (27.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01424
11624
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Outputs
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

end19.0ms (0.8%)

Stop Event
1×done
Compiler

Compiled 34 to 26 computations (23.5% saved)

Profiling

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