Details

Time bar (total: 7.2s)

analyze5.0ms (0.1%)

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)

sample1.1s (15%)

Results
1.1s8256×body256valid
1.0ms12×body256invalid

preprocess113.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
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 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (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 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify138.0ms (1.9%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
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 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (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 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

eval1.0ms (0%)

Compiler

Compiled 37 to 27 computations (27% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 38 to 29 computations (23.7% saved)

localize32.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 66 to 45 computations (31.8% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite111.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
405×pow-prod-down_binary64
348×pow2_binary64
246×pow1/3_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
128855
2335555
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)) (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1))))))
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simplify172.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
577×associate-/r*_binary64
558×associate-*l*_binary64
538×associate-*r*_binary64
440×times-frac_binary64
391×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02121968
16941857
225721722
Stop Event
1×node limit
Counts
112 → 146
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)))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 (sqrt.f64 -6) v)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -6)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (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 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (*.f64 v v))))
(+.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 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (pow.f64 v 4)))))
(+.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 -4/3 (*.f64 (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 (*.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))))))))))
(+.f64 (*.f64 -4/3 (+.f64 (*.f64 (pow.f64 v 6) (+.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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 v (*.f64 v (-.f64 (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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.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 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
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(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 (/.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 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
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(*.f64 (sqrt.f64 -6) (neg.f64 v))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (sqrt.f64 2)))
(*.f64 (PI.f64) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2)))))
(-.f64 (*.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))))) (*.f64 (PI.f64) (sqrt.f64 2)))
(fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (*.f64 9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))))))
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2)))
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2)))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (pow.f64 v 6) (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (*.f64 9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3)))))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -9/4)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))
(fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64)))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (neg.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64))))
(neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64)))))
(-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6))))))

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
✓0.0b
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
✓0.2b
(*.f64 6 (*.f64 v v))
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 86 to 52 computations (39.5% saved)

series29.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
19.0ms
v
@0
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
2.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
2.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
2.0ms
v
@0
(*.f64 6 (*.f64 v v))
1.0ms
v
@inf
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))

rewrite122.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
845×log-prod_binary64
329×prod-diff_binary64
303×expm1-udef_binary64
302×log1p-udef_binary64
251×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01778
137575
2468169
Stop Event
1×node limit
Counts
4 → 88
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))))))
(*.f64 6 (*.f64 v v))
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v 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 (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 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(sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 36 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 v (*.f64 v 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (*.f64 216 (pow.f64 v 6)))) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (*.f64 12 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1))))))

simplify77.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
516×associate-+l+_binary64
464×associate-+r+_binary64
443×associate-/r*_binary64
399×associate-*l/_binary64
380×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02042088
16781998
225861890
Stop Event
1×node limit
Counts
136 → 160
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.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 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.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 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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)))))) (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 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 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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))))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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)))))) (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 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.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 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.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 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 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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))))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.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)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.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 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 (sqrt.f64 -6) v)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -6)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (*.f64 3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (*.f64 3 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))))
(*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (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)))))) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (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 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64)))))))
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.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 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.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 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
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(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))))
(fma.f64 3 (/.f64 (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 (/.f64 1/12 (sqrt.f64 -6)) (PI.f64))) (pow.f64 v 3)) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))
(fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))))))
(fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 v -3)))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))))
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (/.f64 -3 v) (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 -3 (/.f64 (*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (*.f64 -3 (+.f64 (+.f64 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 (/.f64 1/12 (sqrt.f64 -6)) (PI.f64))) (pow.f64 v 3))) (/.f64 (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))

eval195.0ms (2.7%)

Compiler

Compiled 9310 to 7228 computations (22.4% saved)

prune43.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3015306
Fresh000
Picked011
Done101
Total3026308
Error
0b
Counts
308 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.5b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
▶1.2b
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
▶1.5b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
▶0.6b
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
Compiler

Compiled 165 to 140 computations (15.2% saved)

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))
✓0.0b
(*.f64 (PI.f64) (fma.f64 v v -1))
0.0b
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
✓0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
Compiler

Compiled 82 to 56 computations (31.7% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
1.0ms
v
@inf
(*.f64 (PI.f64) (fma.f64 v v -1))
0.0ms
v
@-inf
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
0.0ms
v
@-inf
(*.f64 (PI.f64) (fma.f64 v v -1))
0.0ms
v
@inf
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))

rewrite122.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
641×log-prod_binary64
350×pow2_binary64
245×pow1/3_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
133854
2382754
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
(*.f64 (PI.f64) (fma.f64 v v -1))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))
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 (pow.f64 (fma.f64 v 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simplify72.0ms (1%)

Algorithm
1×egg-herbie
Rules
531×associate-*l*_binary64
509×associate-*r*_binary64
427×associate-/r*_binary64
413×associate-+l+_binary64
359×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831766
15951677
222511554
Stop Event
1×node limit
Counts
147 → 164
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 (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (pow.f64 v 2) (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (pow.f64 v 2) (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (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 (PI.f64)) (sqrt.f64 1/2)) (/.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 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 4) (*.f64 (-.f64 (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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3))))
(+.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 -4/3 (*.f64 (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 (*.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))))))))))
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(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (sqrt.f64 2)))
(*.f64 (PI.f64) (neg.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2)))))
(-.f64 (*.f64 v (*.f64 v (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))))) (*.f64 (PI.f64) (sqrt.f64 2)))
(fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))))
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3 (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2)))
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2)))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (pow.f64 v 6) (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3 (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (/.f64 (PI.f64) -4/9) (sqrt.f64 2))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))
(fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -6) 3)) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 -6))))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6))) v) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6))) v) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6))))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite47.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
503×pow1_binary64
486×add-sqr-sqrt_binary64
469×add-log-exp_binary64
469×log1p-expm1-u_binary64
469×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
212617
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
30 → 30
Calls
Call 1
Inputs
Outputs

localize11.0ms (0.2%)

Compiler

Compiled 20 to 15 computations (25% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 36 computations (34.5% saved)

series17.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
11.0ms
v
@0
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
1.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
1.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
1.0ms
v
@0
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))
1.0ms
v
@inf
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))

rewrite93.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
648×log-prod_binary64
344×pow2_binary64
239×pow1/3_binary64
237×pow-unpow_binary64
235×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
129752
2358452
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 3 (PI.f64))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 3 (PI.f64))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 2)))) 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(*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))))

simplify74.0ms (1%)

Algorithm
1×egg-herbie
Rules
768×times-frac_binary64
571×associate-/l*_binary64
429×associate-*l/_binary64
298×cancel-sign-sub-inv_binary64
294×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065943
1202908
2645800
32255744
47484744
Stop Event
1×node limit
Counts
134 → 125
Calls
Call 1
Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(*.f64 3 (PI.f64))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 4/3 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))))
(*.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))))))
(fma.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (PI.f64)) (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64))))))
(fma.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64)))))
(fma.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2))) (*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 4) (pow.f64 v 6))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))))
(/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (PI.f64)))
(-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6))))))
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6)))))
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (/.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (pow.f64 v 6)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8))))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8)))))))
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 8))))))
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8)))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))))
(/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (PI.f64)))
(-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6))))))
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6)))))
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (/.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (pow.f64 v 6)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8))))))))
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8)))))))
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 8))))))
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8)))))
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(*.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(*.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3))
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)))
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)))
(*.f64 3 (PI.f64))
(*.f64 (PI.f64) 3)
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3)
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3)
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3))
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3)))
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
✓0.2b
(*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
✓1.0b
(/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))
Compiler

Compiled 92 to 67 computations (27.2% saved)

series5.0ms (0.1%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
v
@0
(*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))
1.0ms
v
@inf
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
1.0ms
v
@inf
(*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))
0.0ms
v
@0
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
0.0ms
v
@-inf
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))

rewrite121.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
884×fma-def_binary64
407×fma-neg_binary64
309×expm1-udef_binary64
309×log1p-udef_binary64
183×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01572
135668
2557468
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))) (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))) (cbrt.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))) (cbrt.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))) (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))) (sqrt.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 1 (PI.f64)) (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 v) (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (*.f64 v v)) (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (cbrt.f64 (*.f64 (pow.f64 v 4) (pow.f64 (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (cbrt.f64 (*.f64 v (*.f64 v (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/3 (*.f64 v (sqrt.f64 (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 v (sqrt.f64 (fma.f64 (/.f64 3/4 (PI.f64)) (pow.f64 1/2 -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64)))))))

simplify104.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
709×associate-*l/_binary64
671×fma-def_binary64
587×associate-/l*_binary64
550×associate-*r/_binary64
370×unswap-sqr_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
019699
150699
2144681
3481668
41921580
56472571
66758571
77148571
87864571
Stop Event
1×node limit
Counts
169 → 153
Calls
Call 1
Inputs
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
Outputs
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (*.f64 (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) 4/3))
(*.f64 v (*.f64 (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))
(*.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2))) 4/3)
(*.f64 (*.f64 (*.f64 v v) (/.f64 4/3 (PI.f64))) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (*.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 v v) (*.f64 (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) 4/3))
(*.f64 v (*.f64 (*.f64 v (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 4/3))
(*.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (*.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2))) 4/3)
(*.f64 (*.f64 (*.f64 v v) (/.f64 4/3 (PI.f64))) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 v (*.f64 v 4/3)))))
(fma.f64 v (/.f64 v (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 v v 1) 4/3)))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))

eval497.0ms (6.9%)

Compiler

Compiled 15079 to 11533 computations (23.5% saved)

prune168.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5775582
Fresh000
Picked101
Done235
Total5808588
Error
0b
Counts
588 → 8
Alt Table
Click to see full 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))))))
▶0.2b
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
▶0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
▶0.6b
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
✓1.5b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
✓1.5b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶1.2b
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
▶0.6b
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
Compiler

Compiled 207 to 178 computations (14% saved)

localize70.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
✓0.0b
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))
0.0b
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
✓0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
Compiler

Compiled 90 to 57 computations (36.7% saved)

series13.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
v
@inf
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
2.0ms
v
@inf
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
1.0ms
v
@0
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
1.0ms
v
@-inf
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
1.0ms
v
@0
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))

rewrite162.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
743×log-prod_binary64
296×fma-def_binary64
276×log1p-udef_binary64
275×expm1-udef_binary64
222×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
137754
2459454
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
Outputs
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simplify134.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
531×associate-*l*_binary64
509×associate-*r*_binary64
427×associate-/r*_binary64
413×associate-+l+_binary64
359×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831766
15951677
222511554
Stop Event
1×node limit
Counts
181 → 198
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 (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (pow.f64 v 2) (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 (pow.f64 v 2) (PI.f64))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64)))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (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 (PI.f64)) (sqrt.f64 1/2)) (/.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 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 4) (*.f64 (-.f64 (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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3))))
(+.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 -4/3 (*.f64 (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 (*.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))))))))))
(+.f64 (*.f64 -4/3 (+.f64 (+.f64 (*.f64 (pow.f64 v 6) (+.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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 4) (-.f64 (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 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.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 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
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(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3 (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2)))
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2)))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (pow.f64 v 6) (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3 (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (/.f64 (PI.f64) -4/9) (sqrt.f64 2))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))
(fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -6) 3)) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 -6))))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6))) v) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6))) v) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 v (fma.f64 (neg.f64 (sqrt.f64 -6)) (PI.f64) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6))))))

localize19.0ms (0.3%)

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize44.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 59 to 37 computations (37.3% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite157.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
587×log-prod_binary64
356×pow-prod-down_binary64
319×pow2_binary64
222×pow1/3_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
126344
2340244
Stop Event
1×node limit
Counts
3 → 108
Calls
Call 1
Inputs
(/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
Outputs
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simplify93.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
790×associate-/l*_binary64
560×cancel-sign-sub-inv_binary64
548×associate-/l/_binary64
541×fma-neg_binary64
374×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089977
1288939
2925919
33270851
Stop Event
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/.f64 4/3 (PI.f64))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(PI.f64)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
Outputs
(/.f64 4/3 (PI.f64))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64)))
(fma.f64 4/3 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(fma.f64 4/3 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64)))
(+.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64))))
(+.f64 (*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (pow.f64 v 6) (pow.f64 v 4))) (fma.f64 4/3 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 4/3 (PI.f64))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v)
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v)))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)))
(+.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(+.f64 (+.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 6))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3)))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v)
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v)))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)))
(+.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3)))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(+.f64 (+.f64 (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) v)) v) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 6))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3)))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) (*.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2))))
(*.f64 4/3 (fma.f64 (/.f64 v (PI.f64)) (/.f64 v (sqrt.f64 2)) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2)))))
(fma.f64 4/3 (/.f64 (/.f64 v (PI.f64)) (/.f64 (sqrt.f64 2) v)) (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) (*.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2))))))
(fma.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2))))
(+.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2)))))))
(+.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2)))))))
(fma.f64 4/3 (fma.f64 (/.f64 v (PI.f64)) (/.f64 v (sqrt.f64 2)) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64)))))
(+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 6) (PI.f64))) (/.f64 (pow.f64 v 4) (PI.f64)))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v)))
(/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))))
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 2)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2)))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (sqrt.f64 2)) (PI.f64)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 6) (sqrt.f64 2))))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 4) (sqrt.f64 2)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (*.f64 v v)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 8)) (sqrt.f64 2)))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 6) (sqrt.f64 2)))) (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (pow.f64 v 8) (*.f64 (PI.f64) (sqrt.f64 2)))))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (+.f64 (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2))))) (/.f64 4/3 (*.f64 (pow.f64 v 8) (*.f64 (PI.f64) (sqrt.f64 2))))))
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (sqrt.f64 2)) (PI.f64)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8)))))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v)))
(/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2))))
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 2)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2)))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (sqrt.f64 2)) (PI.f64)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 6) (sqrt.f64 2))))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 4) (sqrt.f64 2)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (*.f64 v v)))))
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (pow.f64 v 8)) (sqrt.f64 2)))) (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 2))))))
(-.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (pow.f64 v 6) (sqrt.f64 2)))) (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (pow.f64 v 8) (*.f64 (PI.f64) (sqrt.f64 2)))))))
(+.f64 (/.f64 -4/3 (*.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (+.f64 (/.f64 -4/3 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 -4/3 (*.f64 (pow.f64 v 6) (*.f64 (PI.f64) (sqrt.f64 2))))) (/.f64 4/3 (*.f64 (pow.f64 v 8) (*.f64 (PI.f64) (sqrt.f64 2))))))
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (sqrt.f64 2)) (PI.f64)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8)))))
(PI.f64)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (neg.f64 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (neg.f64 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64))
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))

localize93.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
✓0.2b
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
✓1.0b
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
✓1.0b
(/.f64 4/3 (PI.f64))
Compiler

Compiled 74 to 64 computations (13.5% saved)

series10.0ms (0.1%)

Counts
4 → 36
Calls

9 calls:

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

rewrite175.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
790×log-prod_binary64
463×fma-def_binary64
285×expm1-udef_binary64
285×log1p-udef_binary64
226×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01465
132954
2483754
Stop Event
1×node limit
Counts
4 → 207
Calls
Call 1
Inputs
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) v) v) (*.f64 (*.f64 v (sqrt.f64 9/8)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 (sqrt.f64 9/8) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 9/8) (*.f64 v v)) (*.f64 (sqrt.f64 1/2) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 (sqrt.f64 1/2) v)) (*.f64 v (*.f64 v (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (sqrt.f64 1/2)) (*.f64 (*.f64 v v) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (sqrt.f64 9/8)) (*.f64 (*.f64 v v) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) (fma.f64 (sqrt.f64 9/8) 9/8 (pow.f64 1/2 3/2))) (-.f64 13/8 (*.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) -5/8) (-.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 v v)) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 v v) (*.f64 (sqrt.f64 9/8) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (sqrt.f64 1/2) v) (*.f64 v (*.f64 v (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 9/8) (*.f64 v v) (*.f64 (sqrt.f64 1/2) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (sqrt.f64 1/2) (*.f64 (*.f64 v v) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (sqrt.f64 9/8) (*.f64 (*.f64 v v) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) v) v (*.f64 (*.f64 v (sqrt.f64 9/8)) v))))))

simplify136.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
587×distribute-rgt-out_binary64
581×associate-/r*_binary64
395×associate-*l*_binary64
383×times-frac_binary64
362×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027763
183763
2243745
3738687
42762687
55174687
66609687
77370687
87785687
97912687
Stop Event
1×node limit
Counts
243 → 217
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 4/3 (*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v))))
(*.f64 (*.f64 (/.f64 v (PI.f64)) v) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 4/3 (*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v))))
(*.f64 (*.f64 (/.f64 v (PI.f64)) v) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))

localize47.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
✓0.3b
(/.f64 v (PI.f64))
✓0.3b
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 88 to 67 computations (23.9% saved)

series16.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
11.0ms
v
@inf
(/.f64 v (PI.f64))
1.0ms
v
@inf
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
1.0ms
v
@0
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
1.0ms
v
@-inf
(/.f64 v (PI.f64))
1.0ms
v
@-inf
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))

rewrite96.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
561×prod-diff_binary64
327×pow2_binary64
230×pow1/3_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
125338
2374438
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(/.f64 v (PI.f64))
(*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 v (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 v (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 v (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 v (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 v (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (PI.f64))) 2) (cbrt.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (PI.f64))) (sqrt.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 v (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 v (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 v) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 v 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 v (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 v (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 v (PI.f64)) (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 1/2)) v) (*.f64 (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 9/8)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v (/.f64 v (PI.f64)))) (*.f64 (sqrt.f64 9/8) (*.f64 v (/.f64 v (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 9/8) (*.f64 v (/.f64 v (PI.f64)))) (*.f64 (sqrt.f64 1/2) (*.f64 v (/.f64 v (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 1/2))) (*.f64 v (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 1/2)) (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 9/8)) (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v (/.f64 v (PI.f64)))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v (/.f64 v (PI.f64)))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v (/.f64 v (PI.f64)))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v (/.f64 v (PI.f64)))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 v (PI.f64)) (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) v) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (PI.f64))))) (#(struct:change 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(sqrt.f64 1/2) (*.f64 v (/.f64 v (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 1/2)) v (*.f64 (*.f64 (/.f64 v (PI.f64)) (sqrt.f64 9/8)) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 1/2) (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 9/8) (*.f64 (*.f64 v (/.f64 v (PI.f64))) (sqrt.f64 1/2)))))))

simplify157.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
717×associate-/r/_binary64
650×fma-def_binary64
504×associate-*l*_binary64
483×distribute-rgt-out_binary64
467×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016468
143468
298468
3245468
4688468
52637468
64790468
77195468
87316468
97465468
107642468
117890468
Stop Event
1×node limit
Counts
188 → 168
Calls
Call 1
Inputs
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
Outputs
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 v (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (PI.f64)))
(*.f64 v (/.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (PI.f64)))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))
(/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))
(/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v)))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (/.f64 v (PI.f64)) v))
(*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 v (/.f64 v (PI.f64))))

eval640.0ms (8.9%)

Compiler

Compiled 20129 to 15105 computations (25% saved)

prune261.0ms (3.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New8061807
Fresh000
Picked101
Done077
Total8078815
Error
0b
Counts
815 → 8
Alt Table
Click to see full 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))))))
✓0.2b
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
✓0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
✓0.6b
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
✓1.5b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
✓1.5b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶1.2b
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
✓0.6b
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
Compiler

Compiled 125 to 108 computations (13.6% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
0.1b
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
0.2b
(*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
✓1.0b
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
Compiler

Compiled 82 to 71 computations (13.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
v
@0
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
0.0ms
v
@inf
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
0.0ms
v
@-inf
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
0.0ms
v
@0
(+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
0.0ms
v
@inf
(+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))

rewrite108.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
857×log-prod_binary64
476×fma-def_binary64
304×expm1-udef_binary64
304×log1p-udef_binary64
244×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01651
136241
2507741
Stop Event
1×node limit
Counts
2 → 139
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) (*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))) (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 1) (*.f64 (*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (sqrt.f64 1/2))) (/.f64 4/3 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) 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(sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (*.f64 v (sqrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1/2 1/4) (pow.f64 1/2 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (*.f64 (sqrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) v) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v v) 1) (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (pow.f64 (cbrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) 2)) (cbrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))))) (sqrt.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (cbrt.f64 (*.f64 v v))) (cbrt.f64 v) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (sqrt.f64 v)) (sqrt.f64 v) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v v) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8)))) (sqrt.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 9/8))) (sqrt.f64 1/2))))))

simplify104.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
556×distribute-lft-in_binary64
539×distribute-rgt-out_binary64
538×associate-/r*_binary64
424×*-commutative_binary64
389×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027626
177608
2237590
3761514
42864514
55417514
66408514
77815514
Stop Event
1×node limit
Counts
163 → 150
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 4/3 (*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v))))
(*.f64 (*.f64 (/.f64 v (PI.f64)) v) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(*.f64 v (/.f64 (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))) (/.f64 (PI.f64) v)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64)))
(*.f64 4/3 (/.f64 (*.f64 v v) (/.f64 (PI.f64) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(*.f64 4/3 (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(*.f64 4/3 (*.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (/.f64 v (/.f64 (PI.f64) v))))
(*.f64 (*.f64 (/.f64 v (PI.f64)) v) (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))))
(*.f64 v (/.f64 (fma.f64 4/3 (sqrt.f64 1/2) (/.f64 1 (sqrt.f64 1/2))) (/.f64 (PI.f64) v)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (PI.f64))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (fma.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 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 (PI.f64)) (fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(*.f64 (fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))
(*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))
(*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (sqrt.f64 1/2))

eval301.0ms (4.2%)

Compiler

Compiled 6040 to 4830 computations (20% saved)

prune62.0ms (0.9%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2450245
Fresh000
Picked011
Done077
Total2458253
Error
0b
Counts
253 → 8
Alt Table
Click to see full 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))))))
✓0.2b
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
✓0.0b
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
✓0.6b
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
✓1.5b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
✓1.5b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓1.2b
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
✓0.6b
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
Compiler

Compiled 125 to 108 computations (13.6% saved)

regimes33.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
Calls

7 calls:

9.0ms
v
5.0ms
(*.f64 v v)
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
3.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
Results
ErrorSegmentsBranch
0.0b1v
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 v v)
0.0b1(*.f64 v v)
Compiler

Compiled 291 to 218 computations (25.1% saved)

regimes33.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
Calls

7 calls:

9.0ms
v
4.0ms
(*.f64 v v)
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
3.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
Results
ErrorSegmentsBranch
0.0b1v
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 v v)
0.0b1(*.f64 v v)
Compiler

Compiled 273 to 205 computations (24.9% saved)

regimes27.0ms (0.4%)

Counts
9 → 1
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))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 (/.f64 v (PI.f64)) (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4/3) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
Calls

7 calls:

6.0ms
v
4.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
3.0ms
(*.f64 v v)
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
Results
ErrorSegmentsBranch
0.2b1v
0.2b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.2b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.2b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b1(*.f64 v v)
0.2b1(*.f64 v v)
Compiler

Compiled 216 to 165 computations (23.6% saved)

regimes47.0ms (0.7%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
Calls

2 calls:

43.0ms
v
2.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.6b1v
0.6b1(*.f64 v v)
Compiler

Compiled 54 to 42 computations (22.2% saved)

regimes9.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
Calls

1 calls:

7.0ms
v
Results
ErrorSegmentsBranch
0.6b1v
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -1.0b remaining (-170.8%)

Threshold costs -1.0b (-170.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
Calls

1 calls:

8.0ms
v
Results
ErrorSegmentsBranch
0.6b1v
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify68.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
17×*-commutative_binary64
12×+-commutative_binary64
6×sub-neg_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047130
176130
289130
398130
4103130
5104130
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))
(/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))
(/.f64 -4/3 (+.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))
(/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (sqrt.f64 1/2) (*.f64 v (*.f64 v (+.f64 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Compiler

Compiled 89 to 77 computations (13.5% saved)

soundness294.0ms (4.1%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
Stop Event
1×node limit
Compiler

Compiled 611 to 485 computations (20.6% saved)

end120.0ms (1.7%)

Compiler

Compiled 83 to 64 computations (22.9% saved)

Profiling

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