Details

Time bar (total: 4.2s)

analyze143.0ms (3.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
15.6%84.3%0.1%6
37.5%62.4%0.1%7
46.8%53.1%0.1%8
57.8%39.8%2.4%9
64.6%30.4%5%10
71.8%20.3%7.9%11
74.1%16.2%9.7%12
Compiler

Compiled 24 to 18 computations (25% saved)

sample1.3s (30.7%)

Results
1.2s8239×body64valid
93.0ms657×body64invalid
4.0ms17×body128valid

preprocess51.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
638×distribute-rgt-in_binary64
565×associate-/r*_binary64
506×distribute-lft-in_binary64
484×fma-neg_binary64
462×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02164
16058
218458
375958
4347754
5799554
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) 2)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (+.f64 b a)) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) 2) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 (/.f64 1 b) (/.f64 1 a))))
(*.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (/.f64 1 b) (/.f64 -1 a)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 b) (/.f64 -1 a)) (-.f64 (*.f64 a a) (*.f64 b b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) 2) (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify30.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
693×div-sub_binary64
597×times-frac_binary64
509×associate-/l*_binary64
356×associate-/l/_binary64
274×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01632
13729
210029
340029
4179028
5579528
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (*.f64 a (neg.f64 a)))))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
15.9b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 127 to 87 computations (31.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓0.2b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
✓0.2b
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
✓0.3b
(/.f64 (PI.f64) a)

series23.0ms (0.5%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
2.0ms
b
@0
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
2.0ms
b
@0
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
2.0ms
b
@-inf
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
2.0ms
a
@inf
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))

rewrite88.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
795×prod-diff_binary64
339×fma-def_binary64
295×expm1-udef_binary64
295×log1p-udef_binary64
175×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
132165
2472265
Stop Event
1×node limit
Counts
4 → 149
Calls
Call 1
Inputs
(/.f64 (PI.f64) a)
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (cbrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) a)) (sqrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a a))) (/.f64 (PI.f64) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (PI.f64) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))) 2) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))) (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1 (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b a)) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 1) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 b a) 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (cbrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (cbrt.f64 (pow.f64 (-.f64 b a) 2))) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (cbrt.f64 (pow.f64 (-.f64 b a) 2))) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (cbrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b a))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (sqrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (sqrt.f64 (-.f64 b a))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (sqrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (+.f64 a b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) 3) 1/3)))) (#(struct:change #<rule 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simplify55.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
881×times-frac_binary64
570×associate-/l*_binary64
482×distribute-rgt-in_binary64
439×distribute-lft-in_binary64
344×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01602397
15882034
228411248
Stop Event
1×node limit
Counts
221 → 189
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4))))) (pow.f64 a 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (pow.f64 a 2)))))) (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))))) (*.f64 -1 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (+.f64 a (*.f64 -1 a))) (*.f64 -1 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2)))))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 b 2)))) (pow.f64 a 5))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 b 2) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))
(*.f64 -1 (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(*.f64 -1 (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(*.f64 -1 (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
Outputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(*.f64 1/2 (+.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) 0))))
(*.f64 (/.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 (PI.f64) b) (/.f64 (neg.f64 (PI.f64)) a)))
(+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(fma.f64 -1/2 (*.f64 b (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (*.f64 a a) (*.f64 0 a))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)))) (*.f64 1/2 (+.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))))
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(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))

prune631.0ms (15.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New17613189
Fresh011
Picked101
Done000
Total17714191
Error
0b
Counts
191 → 14
Alt Table
StatusErrorProgram
0.8b
(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
0.3b
(/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (+.f64 a b))) (-.f64 b a))
0.3b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
0.4b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) a))) (-.f64 b a)))
▶0.3b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
10.9b
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) 2)))
26.1b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (PI.f64) (neg.f64 b))) (pow.f64 (/.f64 (PI.f64) a) 2)) (-.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (PI.f64) a))) (-.f64 b a)))
0.5b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))) (-.f64 b a)))
11.1b
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 b a) 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (cbrt.f64 (-.f64 b a)))))
0.7b
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1 (-.f64 b a)))))
0.9b
(/.f64 1/2 (*.f64 (+.f64 a b) (/.f64 (-.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))
13.2b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (PI.f64) a)))) (-.f64 b a)))
0.9b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))) 3)
15.9b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 5888 to 3115 computations (47.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1/2 (+.f64 b a))
✓0.2b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
✓0.8b
(/.f64 (PI.f64) (*.f64 a b))

series12.0ms (0.3%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (PI.f64) (*.f64 a b))
1.0ms
b
@0
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
1.0ms
a
@0
(/.f64 (PI.f64) (*.f64 a b))
1.0ms
b
@0
(/.f64 (PI.f64) (*.f64 a b))
1.0ms
a
@-inf
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))

rewrite67.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
644×log-prod_binary64
610×prod-diff_binary64
313×pow2_binary64
238×log-div_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
123132
2349232
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 1/2 (+.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (PI.f64) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (PI.f64) a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (PI.f64) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) 2) (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) (sqrt.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) b) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) b) (/.f64 (cbrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (/.f64 (PI.f64) (cbrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a b))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (*.f64 a b))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (PI.f64) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 a b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 (PI.f64) b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (PI.f64) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (PI.f64) a) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 1/2 (+.f64 a b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 1/2 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 1/2 (+.f64 a b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 1/2 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (/.f64 (PI.f64) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (+.f64 a b)) (/.f64 a (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 a b) 2) (/.f64 a (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a b) (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a b) (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (neg.f64 (+.f64 a b)) (/.f64 a (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 a b) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 (+.f64 a b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 a b) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2)) (neg.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b)))) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) 1) (*.f64 (*.f64 a (neg.f64 b)) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) a) 1) (*.f64 b (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) 1/2) (*.f64 (*.f64 a (neg.f64 b)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) -1/2) (*.f64 (*.f64 a (neg.f64 b)) (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) a) -1/2) (*.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 (PI.f64))) (*.f64 (+.f64 a b) (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 (PI.f64))) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 (+.f64 a b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (PI.f64) a)) (*.f64 (neg.f64 (+.f64 a b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2) 1) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) 1) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 1/2 (+.f64 a b))) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (+.f64 a b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) b)) (neg.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) b) -1/2) (neg.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (+.f64 a b)) (neg.f64 (PI.f64))) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (+.f64 a b)) (/.f64 (PI.f64) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3) (pow.f64 (/.f64 1/2 (+.f64 a b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1/2 (+.f64 a b)) 3) (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 a b) 2) (/.f64 a (/.f64 (PI.f64) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a b) (*.f64 (/.f64 (/.f64 (PI.f64) a) b) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3) (pow.f64 (/.f64 1/2 (+.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 (+.f64 a b)) 3) (pow.f64 (/.f64 (/.f64 (PI.f64) a) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) (+.f64 a b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 a b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 a b))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 a b))) (sqrt.f64 (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 a b) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (+.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 a b))))))))

simplify118.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
719×associate-*l*_binary64
499×associate-/l/_binary64
426×associate-/r/_binary64
414×associate-+l+_binary64
375×associate-+r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0791314
12371302
27291218
327161176
458951116
563801116
668041116
779681116
Stop Event
1×node limit
Counts
195 → 177
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b)))))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b)))))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b)))))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))))
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
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(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))

prune551.0ms (13.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1725177
Fresh9413
Picked101
Done000
Total1829191
Error
0b
Counts
191 → 9
Alt Table
StatusErrorProgram
13.2b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (PI.f64) a)))) (-.f64 b a)))
0.8b
(/.f64 1/2 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (PI.f64)))
▶0.2b
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
0.8b
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a b)))
0.5b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))) (-.f64 b a)))
0.8b
(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
0.3b
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (neg.f64 (PI.f64)) (/.f64 1 (*.f64 a (neg.f64 b)))))
0.9b
(/.f64 1/2 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (+.f64 a b)))
15.9b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 3169 to 1482 computations (53.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
✓0.2b
(/.f64 (/.f64 (PI.f64) a) b)
0.3b
(/.f64 (PI.f64) a)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
a
@inf
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
0.0ms
a
@0
(/.f64 (/.f64 (PI.f64) a) b)
0.0ms
a
@0
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
0.0ms
b
@-inf
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
0.0ms
a
@-inf
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))

rewrite67.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
702×log-prod_binary64
588×prod-diff_binary64
280×log-div_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123325
2373325
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (PI.f64) a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 b) 2)) 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a b) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b (/.f64 a (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1 (*.f64 (+.f64 a b) (*.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 1 b) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) (*.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 a b)) (/.f64 1 (*.f64 (+.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 a b)) (/.f64 (PI.f64) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) 1) (/.f64 (/.f64 1 b) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (+.f64 a b)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) 2)) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (*.f64 (+.f64 a b) 2)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) (*.f64 (+.f64 a b) 2)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) (+.f64 a b)) (/.f64 (/.f64 1 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) (+.f64 a b)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) 2) (/.f64 (/.f64 1 b) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) 2) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 a b) 2)))) (/.f64 (/.f64 1 b) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 a b) 2)))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 a b) 2)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 a b) 2)))) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (*.f64 (+.f64 a b) 2))) (/.f64 (/.f64 1 b) (sqrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a b) 2))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (sqrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) 2) (sqrt.f64 (*.f64 (+.f64 a b) 2))) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a b))) (sqrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 (+.f64 a b) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 2 b)) (/.f64 (PI.f64) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 2 b)) (/.f64 a (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 (+.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) 3) (pow.f64 (*.f64 (+.f64 a b) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))))))))

simplify53.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
929×fma-def_binary64
780×associate-/r/_binary64
668×unswap-sqr_binary64
455×associate-*l/_binary64
387×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051984
1153984
2449903
31630882
45684864
Stop Event
1×node limit
Counts
151 → 121
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
Outputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))

prune428.0ms (10.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1504154
Fresh358
Picked101
Done000
Total1549163
Error
0b
Counts
163 → 9
Alt Table
StatusErrorProgram
13.2b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (PI.f64) a)))) (-.f64 b a)))
0.8b
(/.f64 1/2 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (PI.f64)))
▶0.3b
(/.f64 (*.f64 (PI.f64) (/.f64 1 (*.f64 a b))) (*.f64 (+.f64 a b) 2))
0.3b
(/.f64 (/.f64 (pow.f64 (/.f64 a (PI.f64)) -1) b) (*.f64 (+.f64 a b) 2))
0.8b
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a b)))
0.5b
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))) (-.f64 b a)))
0.8b
(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
0.3b
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))
0.9b
(pow.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 (+.f64 a b) 2)) -1)
Compiler

Compiled 2940 to 1359 computations (53.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 (PI.f64) (/.f64 1 (*.f64 a b))) (*.f64 (+.f64 a b) 2))
✓0.3b
(*.f64 (PI.f64) (/.f64 1 (*.f64 a b)))
✓0.8b
(/.f64 1 (*.f64 a b))

series7.0ms (0.2%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 1 (*.f64 a b))
0.0ms
a
@inf
(/.f64 1 (*.f64 a b))
0.0ms
b
@0
(/.f64 1 (*.f64 a b))
0.0ms
b
@-inf
(/.f64 1 (*.f64 a b))
0.0ms
a
@-inf
(/.f64 1 (*.f64 a b))

rewrite75.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
756×log-prod_binary64
631×prod-diff_binary64
234×log-div_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
126532
2391132
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(/.f64 1 (*.f64 a b))
(*.f64 (PI.f64) (/.f64 1 (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 1 (*.f64 a b))) (*.f64 (+.f64 a b) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 a b)))) (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 a b))) (cbrt.f64 (pow.f64 (*.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) -2)) (cbrt.f64 (/.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) -1/2) (pow.f64 (*.f64 a b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) -1) (pow.f64 (cbrt.f64 (*.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a b)) -1) (pow.f64 (sqrt.f64 (*.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (PI.f64) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (PI.f64) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a b) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (*.f64 a b) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) 1) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (*.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (PI.f64)) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (PI.f64)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (PI.f64) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 a b)) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 (*.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (PI.f64) b) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b)) (*.f64 (PI.f64) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 (/.f64 1 (*.f64 a b)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))) 2) (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 a b)) (/.f64 1 (*.f64 (+.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 1 (*.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 a b)) 1/2) (/.f64 (PI.f64) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 a b)) (/.f64 (/.f64 (PI.f64) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 (/.f64 1 (*.f64 a b)) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 a b)) 1) (/.f64 (PI.f64) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 a b)) (+.f64 a b)) (/.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (*.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 a b)) (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) 2)) (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a b)) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (*.f64 a b)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2)) (+.f64 a b)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2) (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2)) 2) (/.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) 2) 2))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) 2) 2))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) 2) 2))) (/.f64 (/.f64 1 (*.f64 a b)) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) 2) 2))) (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) 2) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (cbrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a b) 2))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (sqrt.f64 (*.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 a b)) 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simplify56.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
929×fma-def_binary64
780×associate-/r/_binary64
668×unswap-sqr_binary64
455×associate-*l/_binary64
387×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051984
1153984
2449903
31630882
45684864
Stop Event
1×node limit
Counts
167 → 135
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
Outputs
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) a) b)
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 b (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 1/2 (/.f64 b (*.f64 a a))) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 (*.f64 b -1/2) (pow.f64 a 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (+.f64 (*.f64 1/2 (/.f64 a (*.f64 b b))) (/.f64 1/2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 b 5)) (*.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 a (*.f64 b b))))))
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 (*.f64 (PI.f64) a) (+.f64 (/.f64 1/2 (pow.f64 b 4)) (/.f64 (*.f64 a -1/2) (pow.f64 b 5)))))

prune330.0ms (7.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1314135
Fresh628
Picked101
Done000
Total1386144
Error
0b
Counts
144 → 6
Alt Table
StatusErrorProgram
0.9b
(pow.f64 (*.f64 (*.f64 a b) (/.f64 (*.f64 (+.f64 a b) 2) (PI.f64))) -1)
0.2b
(*.f64 (*.f64 (/.f64 1 (*.f64 a b)) 1/2) (/.f64 (PI.f64) (+.f64 a b)))
0.3b
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (*.f64 a b)) (+.f64 a b)))
0.9b
(pow.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 (+.f64 a b) 2)) -1)
0.8b
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))
0.3b
(/.f64 (/.f64 (pow.f64 (/.f64 a (PI.f64)) -1) b) (*.f64 (+.f64 a b) 2))
Compiler

Compiled 2408 to 1143 computations (52.5% saved)

regimes46.0ms (1.1%)

Accuracy

Total -33.2b remaining (-14023.3%)

Threshold costs -33.2b (-14023.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(pow.f64 (*.f64 (*.f64 a b) (/.f64 (*.f64 (+.f64 a b) 2) (PI.f64))) -1)
(*.f64 (*.f64 (/.f64 1 (*.f64 a b)) 1/2) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (*.f64 a b)) (+.f64 a b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 1 (*.f64 a b))) (*.f64 (+.f64 a b) 2))
(/.f64 (/.f64 (pow.f64 (/.f64 a (PI.f64)) -1) b) (*.f64 (+.f64 a b) 2))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 1/2 (+.f64 a b)))
(pow.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 (+.f64 a b) 2)) -1)
(/.f64 1/2 (/.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) 2) (*.f64 a b)))
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (neg.f64 (PI.f64)) (/.f64 1 (*.f64 a (neg.f64 b)))))
(/.f64 1/2 (*.f64 (/.f64 a (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (+.f64 a b))) (-.f64 b a))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) a))) (-.f64 b a)))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) 2)))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (PI.f64) (neg.f64 b))) (pow.f64 (/.f64 (PI.f64) a) 2)) (-.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (PI.f64) a))) (-.f64 b a)))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))) (-.f64 b a)))
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 b a) 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (cbrt.f64 (-.f64 b a)))))
(*.f64 (/.f64 1/2 (+.f64 b a)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1 (-.f64 b a)))))
(/.f64 1/2 (*.f64 (+.f64 a b) (/.f64 (-.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (PI.f64) a)))) (-.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))) 3)
(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Outputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
Results
14.0ms0.2ba
13.0ms0.2bb
9.0ms0.2b(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 518 to 243 computations (53.1% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11217
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))
Outputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 (+.f64 a b) 2))

end15.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 26 to 18 computations (30.8% saved)

Profiling

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