Details

Time bar (total: 9.9s)

analyze150.0ms (1.5%)

Algorithm
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)

sample1.4s (14.5%)

Results
1.3s8256×body256valid
140.0ms692×body256invalid

preprocess48.0ms (0.5%)

Algorithm
egg-herbie
Rules
624×distribute-rgt-in_binary64
586×associate-/r*_binary64
522×distribute-lft-in_binary64
462×fma-def_binary64
398×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02164
16058
218758
376958
4346854
022
Stop Event
saturated
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 (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 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)) (+.f64 b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 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 (/.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 (PI.f64) 2) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (/.f64 -1 a) (/.f64 -1 b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (-.f64 (*.f64 a a) (*.f64 b b))) 2)
Compiler

Compiled 25 to 19 computations (24% saved)

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Rules
691×div-sub_binary64
599×times-frac_binary64
514×associate-/l*_binary64
357×associate-/l/_binary64
267×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01632
13729
210129
340429
4179228
5580628
Stop Event
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 (PI.f64) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (*.f64 a (neg.f64 a)))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) 1/2)))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))

eval1.0ms (0%)

Compiler

Compiled 41 to 27 computations (34.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
10.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
15.1b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
10.4b
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
Compiler

Compiled 43 to 30 computations (30.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))))
1.4b
(/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))
4.2b
(-.f64 (*.f64 b b) (*.f64 a a))
9.3b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 79 to 37 computations (53.2% saved)

series16.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
a
@0
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@0
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@inf
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
a
@inf
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@-inf
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite110.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
635×fma-def_binary64
315×expm1-udef_binary64
315×log1p-udef_binary64
275×fma-neg_binary64
273×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
137769
2573569
Stop Event
node limit
Counts
4 → 282
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)))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))))
Outputs
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((x /.f64 (*.f64 -1 (neg.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) -1) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 1))))))

simplify94.0ms (1%)

Algorithm
egg-herbie
Rules
918×times-frac_binary64
742×fma-neg_binary64
465×cancel-sign-sub-inv_binary64
445×associate-/l*_binary64
445×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01112505
13332460
210932289
356382289
Stop Event
node limit
Counts
378 → 335
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 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.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))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(fma.f64 1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) 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 (*.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 (*.f64 a a) b)) (/.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 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 a 5) (*.f64 (PI.f64) b))) (fma.f64 1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a 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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(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 -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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.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 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.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)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a 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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(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 -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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.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 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.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)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a 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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(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 -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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.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 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.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)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.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))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
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(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (*.f64 (PI.f64) -1/2) (*.f64 a a))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(*.f64 -1/2 (+.f64 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))
(*.f64 -1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64))))
(*.f64 -1/2 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))
(*.f64 -1/2 (+.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64)))))
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))))
(fma.f64 -1/2 (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (*.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64))))))
(*.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
0.3b
(/.f64 (PI.f64) a)
2.5b
(fma.f64 b b (*.f64 a (neg.f64 a)))
10.4b
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
Compiler

Compiled 61 to 22 computations (63.9% saved)

series10.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
b
@0
(fma.f64 b b (*.f64 a (neg.f64 a)))
1.0ms
b
@0
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
0.0ms
b
@-inf
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
0.0ms
b
@inf
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
0.0ms
b
@-inf
(fma.f64 b b (*.f64 a (neg.f64 a)))

rewrite154.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
685×log-prod_binary64
354×pow2_binary64
336×prod-diff_binary64
247×pow1/3_binary64
244×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01456
129650
2392150
Stop Event
node limit
Counts
4 → 307
Calls
Call 1
Inputs
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
(fma.f64 b b (*.f64 a (neg.f64 a)))
(/.f64 (PI.f64) a)
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
Outputs
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((x *.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 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 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2) (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule 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1 (pow.f64 (hypot.f64 b a) 2)) (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2))))) (#(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) (pow.f64 (hypot.f64 b a) 2)) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2))))) (#(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 2 (pow.f64 (hypot.f64 b a) 2))))))) (#(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 2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (hypot.f64 b a) 2))) 2)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (cbrt.f64 (*.f64 2 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(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (exp.f64 (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (PI.f64) a)) (exp.f64 (/.f64 (PI.f64) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a))) (exp.f64 (/.f64 (PI.f64) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 1))))))

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
948×fma-def_binary64
668×unswap-sqr_binary64
456×associate-*l/_binary64
402×associate-*l*_binary64
400×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0561308
11641254
24821173
317271152
460131134
Stop Event
node limit
Counts
379 → 334
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 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) b)
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.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 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) b))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.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 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 (PI.f64) a) a) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))
(+.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 (*.f64 a a) b)) (/.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 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 b b) (pow.f64 a 5)) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) 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 (/.f64 b (pow.f64 a 5)) (*.f64 (PI.f64) b)) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a)))))
(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 -1/2 (/.f64 (pow.f64 a 5) 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 (PI.f64) (*.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (PI.f64) (/.f64 1/2 (*.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 (PI.f64) (*.f64 b (*.f64 b a))) (*.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 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
(+.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))))))
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(fma.f64 a (neg.f64 a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 a a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))

eval352.0ms (3.6%)

Compiler

Compiled 21141 to 10185 computations (51.8% saved)

prune135.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New65019669
Fresh000
Picked101
Done101
Total65219671
Error
5.6b
Counts
671 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
15.1b
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 2 (*.f64 b a)))
10.4b
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
30.4b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
19.5b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))))
24.9b
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
32.0b
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
31.2b
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
29.4b
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
32.0b
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
20.3b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
29.1b
(/.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (-.f64 (*.f64 b b) (*.f64 a a))))
20.1b
(*.f64 (/.f64 1 (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
15.2b
(/.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 b b) (*.f64 a a)))
15.2b
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
35.2b
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
10.5b
(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
35.0b
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
15.1b
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2)
9.3b
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 754 to 534 computations (29.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
0.1b
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
0.3b
(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
9.3b
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 66 to 35 computations (47% saved)

series30.0ms (0.3%)

Counts
4 → 78
Calls

24 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
4.0ms
a
@0
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
2.0ms
b
@0
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
2.0ms
a
@0
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
a
@0
(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))

rewrite104.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
489×fma-def_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
261×log-pow_binary64
247×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01567
134955
2561055
Stop Event
node limit
Counts
4 → 253
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
(-.f64 (/.f64 1 a) (/.f64 1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (*.f64 (/.f64 -1 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 1 a)) (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (*.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify118.0ms (1.2%)

Algorithm
egg-herbie
Rules
392×fma-def_binary64
390×distribute-rgt-out--_binary64
320×fma-neg_binary64
255×associate-*r*_binary64
253×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823779
110443132
255622095
Stop Event
node limit
Counts
331 → 331
Calls
Call 1
Inputs
(*.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 1/2 (/.f64 (PI.f64) a))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 6)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (+.f64 a (*.f64 -1 a)))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (+.f64 a (*.f64 -1 a))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 6))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(/.f64 1 a)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 1 a)
(/.f64 1 a)
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) 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 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 (*.f64 a a) b))))
(*.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))))
(*.f64 1/2 (-.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.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 (*.f64 -1 (+.f64 (/.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 (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 (*.f64 a a) b)))))
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(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (+.f64 a (*.f64 -1 a))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 (*.f64 0 a) (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2))))) (*.f64 (*.f64 0 a) (*.f64 (PI.f64) (*.f64 a a)))) (pow.f64 b 5)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)))))
(+.f64 (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 (*.f64 (PI.f64) 0) (pow.f64 b 5))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))) (/.f64 0 (pow.f64 b 5)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) 0)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 6))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (*.f64 (PI.f64) b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0)
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (*.f64 (PI.f64) b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0)
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0))
(/.f64 1 a)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 1 a)
(/.f64 1 a)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1/2 (*.f64 a (*.f64 b b)))
0.2b
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
9.6b
(*.f64 a (*.f64 b b))
Compiler

Compiled 30 to 11 computations (63.3% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(/.f64 1/2 (*.f64 a (*.f64 b b)))
1.0ms
a
@0
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
1.0ms
a
@inf
(/.f64 1/2 (*.f64 a (*.f64 b b)))
1.0ms
a
@0
(*.f64 a (*.f64 b b))
1.0ms
b
@0
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
944×pow1_binary64
875×add-log-exp_binary64
875×log1p-expm1-u_binary64
875×expm1-log1p-u_binary64
856×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
119131
2241931
Stop Event
node limit
Counts
3 → 61
Calls
Call 1
Inputs
(*.f64 a (*.f64 b b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (*.f64 b b)) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 2)) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (sqrt.f64 a))) (*.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 b (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 (*.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/2 (*.f64 a b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2) (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 a)) b) (/.f64 (sqrt.f64 (/.f64 1/2 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 a)) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a (*.f64 b b)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 (*.f64 a a) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))))

simplify150.0ms (1.5%)

Algorithm
egg-herbie
Rules
1218×associate-/r/_binary64
1203×associate-*l/_binary64
520×associate-*r/_binary64
516×*-commutative_binary64
440×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011744
124744
256744
3150744
4457744
51818744
63484744
73898744
84012744
94161744
104339744
114590744
125950744
136651744
147372744
Stop Event
node limit
Counts
133 → 67
Calls
Call 1
Inputs
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
Outputs
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 a (pow.f64 b 2))
(*.f64 a (*.f64 b b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64)))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (*.f64 b b)))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
0.8b
(/.f64 (PI.f64) (*.f64 a a))
5.7b
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
Compiler

Compiled 41 to 22 computations (46.3% saved)

series10.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
a
@0
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
b
@0
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
a
@-inf
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
a
@inf
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

rewrite104.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
711×log-prod_binary64
372×log-div_binary64
370×fma-def_binary64
250×expm1-udef_binary64
250×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
128238
2444738
Stop Event
node limit
Counts
3 → 214
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(/.f64 (PI.f64) (*.f64 a a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
Outputs
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b))) (cbrt.f64 (/.f64 1/2 b)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 a)) (pow.f64 (cbrt.f64 (/.f64 -1/2 a)) 2) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 a)) 2) (cbrt.f64 (/.f64 -1/2 a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 b)) (sqrt.f64 (/.f64 1/2 b)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 a)) (sqrt.f64 (/.f64 -1/2 a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) -1/2 (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) 1/2 (/.f64 -1/2 a))))))

simplify68.0ms (0.7%)

Algorithm
egg-herbie
Rules
809×fma-def_binary64
701×associate-/r*_binary64
643×associate-/l*_binary64
522×associate-*l/_binary64
515×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025825
160825
2132735
3341735
41331735
56919735
Stop Event
node limit
Counts
274 → 225
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 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 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 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 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 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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
Outputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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))))
(*.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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 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 (*.f64 a 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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 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 (*.f64 a 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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 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 (*.f64 a 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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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))))
(*.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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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))))
(*.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 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))))
(*.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 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))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(/.f64 -1/2 a)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(/.f64 1/2 b)
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a)))
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a))
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 a) (/.f64 -1 b))
0.2b
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))))
4.2b
(-.f64 (*.f64 b b) (*.f64 a a))
10.3b
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
Compiler

Compiled 85 to 40 computations (52.9% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
1.0ms
a
@0
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
1.0ms
b
@-inf
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
1.0ms
b
@0
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
0.0ms
a
@inf
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))))

rewrite102.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
781×log-prod_binary64
684×fma-def_binary64
302×fma-neg_binary64
273×expm1-udef_binary64
273×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
131837
2482237
Stop Event
node limit
Counts
3 → 134
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
Outputs
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (*.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a -2) (-.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) 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(/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) -1 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) -1) (pow.f64 (cbrt.f64 a) -1) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 a) -1) (pow.f64 (sqrt.f64 a) -1) (/.f64 -1 b))))))

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
755×associate-/r*_binary64
739×associate-/l*_binary64
726×fma-def_binary64
352×associate-*r*_binary64
352×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0731518
11981482
25351446
319531410
Stop Event
node limit
Counts
206 → 170
Calls
Call 1
Inputs
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
Outputs
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 (/.f64 1 b) (*.f64 a b))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3))))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (*.f64 b (*.f64 a a)))
(/.f64 1 (*.f64 a (*.f64 a b)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3)))))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (*.f64 b (*.f64 a a)))
(/.f64 1 (*.f64 a (*.f64 a b)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3)))))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (*.f64 b (*.f64 a a)))
(/.f64 1 (*.f64 a (*.f64 a b)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3)))))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 (/.f64 1 b) (*.f64 a b))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3))))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 (/.f64 1 b) (*.f64 a b))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3))))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a))))
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b))))
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b))))
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b))))
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b))))
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b))))
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b))))
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a))))
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a)))))
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a))))
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(/.f64 -1 b)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(-.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
1.2b
(/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)))
4.2b
(-.f64 (*.f64 b b) (*.f64 a a))
9.3b
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 81 to 38 computations (53.1% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
1.0ms
a
@0
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
1.0ms
a
@inf
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
1.0ms
b
@inf
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
0.0ms
b
@0
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite101.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
625×fma-def_binary64
320×expm1-udef_binary64
320×log1p-udef_binary64
306×fma-neg_binary64
193×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01666
137463
2582963
Stop Event
node limit
Counts
3 → 172
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))
Outputs
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simplify250.0ms (2.5%)

Algorithm
egg-herbie
Rules
802×times-frac_binary64
455×distribute-rgt-out_binary64
401×associate-/l*_binary64
381×fma-def_binary64
360×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0922112
12832100
29131941
346991902
460741902
567641902
671251902
774491902
877841902
Stop Event
node limit
Counts
244 → 210
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 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.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 (*.f64 a a) b)) (/.f64 (*.f64 (PI.f64) b) (pow.f64 a 4)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (/.f64 b (*.f64 a a)) 1/2)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (+.f64 (/.f64 1/2 b) (*.f64 (/.f64 b (*.f64 a a)) 1/2))))
(+.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 (*.f64 a a) b)) (/.f64 (*.f64 (PI.f64) b) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 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 b (/.f64 (pow.f64 a 5) (*.f64 (PI.f64) 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 (*.f64 b b) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (/.f64 b (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (+.f64 (/.f64 1/2 b) (*.f64 (/.f64 b (*.f64 a a)) 1/2)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 1/2 a))
(+.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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
(+.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.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 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)) (*.f64 (/.f64 a (*.f64 b b)) 1/2)))
(+.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)))))))
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))
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(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b))
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b))
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b))
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64)))
(*.f64 -2 (/.f64 (*.f64 a a) (PI.f64)))
(/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))
(*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64)))
(*.f64 -2 (/.f64 (*.f64 a a) (PI.f64)))
(/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))
(*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64))))
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)))
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)))

eval1.0s (10.1%)

Compiler

Compiled 34521 to 18736 computations (45.7% saved)

prune333.0ms (3.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1308151323
Fresh12214
Picked101
Done314
Total1324181342
Error
0b
Counts
1342 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
24.9b
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2)
31.9b
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
24.9b
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
32.0b
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
24.9b
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
15.1b
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2)
1.5b
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))) 2)
29.5b
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
0.9b
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2)
29.5b
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
28.6b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
31.7b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
24.9b
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
19.3b
(/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a)))
35.2b
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0b
(/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
29.4b
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
0.3b
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
Compiler

Compiled 519 to 367 computations (29.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 15 computations (54.5% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
1.0ms
b
@0
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
1.0ms
a
@0
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
1.0ms
a
@-inf
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
1.0ms
b
@-inf
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
674×log-prod_binary64
619×prod-diff_binary64
232×log-div_binary64
217×pow1/3_binary64
212×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
122617
2352217
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (/.f64 1 (*.f64 a (*.f64 b (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 1 (+.f64 b a)) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 b a)) (/.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b a)) (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (/.f64 1 (+.f64 b a)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 b a)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) b) (/.f64 (/.f64 1 (+.f64 b a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) b) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) a) (/.f64 (/.f64 1 (+.f64 b a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) a) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (/.f64 1 (+.f64 b a)) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 b a))) (/.f64 (/.f64 1 (+.f64 b a)) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b a))) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (sqrt.f64 (*.f64 b a))) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (*.f64 b a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (*.f64 b (+.f64 b a))) (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))))))

simplify76.0ms (0.8%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
049792
1149792
2447711
31653690
45815672
Stop Event
node limit
Counts
82 → 74
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))))))
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 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(+.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 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)))
(*.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 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))
(+.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 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
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(+.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 (*.f64 a a) b)) (/.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 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (*.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 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a)))))
(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 -1/2 (/.f64 (pow.f64 a 5) b)))))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)
0.2b
(/.f64 (/.f64 (PI.f64) b) a)
0.3b
(/.f64 (PI.f64) b)
Compiler

Compiled 30 to 9 computations (70% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite96.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
489×log-prod_binary64
371×exp-prod_binary64
368×prod-exp_binary64
313×pow-prod-down_binary64
220×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
115724
2247124
Stop Event
node limit
Counts
3 → 176
Calls
Call 1
Inputs
(/.f64 (PI.f64) b)
(/.f64 (/.f64 (PI.f64) b) a)
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 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exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 b (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) b)) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (neg.f64 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 a)) (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (*.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2) (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 b a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) b) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) b) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) 1) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 b)) (/.f64 (/.f64 1 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a (/.f64 b (PI.f64))) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b a) (/.f64 b (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2)) (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))) (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (log.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (neg.f64 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 b)) (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1)))))))

simplify204.0ms (2.1%)

Algorithm
egg-herbie
Rules
759×sqr-pow_binary64
560×cube-prod_binary64
559×fabs-mul_binary64
523×pow-sqr_binary64
447×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010456
120456
234456
361456
4162456
5531456
61988456
72868456
83032456
93216456
103424456
113727456
124122456
134603456
145169456
155861456
166698456
177090456
187380456
197658456
207730456
217764456
Stop Event
node limit
Counts
224 → 180
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 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 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 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 1/2 a) (PI.f64))
9.0b
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
555×log-prod_binary64
434×exp-prod_binary64
330×pow-prod-down_binary64
264×pow2_binary64
189×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
120022
2285522
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
(*.f64 (/.f64 1/2 a) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 1 (/.f64 b (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (PI.f64) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 (/.f64 1/2 a) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 4)) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (neg.f64 (PI.f64))) (/.f64 1 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -2) (*.f64 (/.f64 1/2 a) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (/.f64 b (PI.f64))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) 1) (/.f64 (PI.f64) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 (/.f64 1/2 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (/.f64 1/2 a) (/.f64 b (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2) b) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (*.f64 b b)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (*.f64 (cbrt.f64 b) b)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (cbrt.f64 b) b)) (/.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2) (*.f64 (cbrt.f64 b) b)) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (*.f64 (cbrt.f64 b) b)) (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (/.f64 1/2 a)) (/.f64 b (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b (/.f64 1/2 a)) (/.f64 b (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) (*.f64 a 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (/.f64 1/2 a)) (/.f64 b (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 a) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (PI.f64)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (PI.f64))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (PI.f64)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 1/2 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 1) 1))))))

simplify152.0ms (1.5%)

Algorithm
egg-herbie
Rules
754×associate-*r/_binary64
743×associate-/r/_binary64
621×*-commutative_binary64
579×sqr-pow_binary64
553×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
124432
252432
3137432
4434432
51792432
63351432
74035432
84149432
94296432
104471432
114722432
125773432
136223432
146689432
157272432
167980432
Stop Event
node limit
Counts
130 → 97
Calls
Call 1
Inputs
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 1 b) (*.f64 a b))
0.2b
(*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b)))
Compiler

Compiled 40 to 21 computations (47.5% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
988×pow1_binary64
914×add-log-exp_binary64
914×log1p-expm1-u_binary64
914×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
118818
2257218
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b)))
(/.f64 (/.f64 1 b) (*.f64 a b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 b (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b a) (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (PI.f64) b)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) 1) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 (*.f64 b a))) (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 b) (PI.f64)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 a) b) (PI.f64)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 -1 b)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 a) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (pow.f64 b -2) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 b -2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 b -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 2) (cbrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b -2)) (*.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 b -2) a)) (sqrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (*.f64 (pow.f64 b -1/2) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 b) (/.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 b)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) 1) (/.f64 (pow.f64 b -1/2) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) b) (/.f64 (cbrt.f64 (/.f64 1 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) b) (/.f64 (pow.f64 b -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) a) (/.f64 (pow.f64 b -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) a) (/.f64 (cbrt.f64 (/.f64 1 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (pow.f64 b -1/2) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b a))) (/.f64 (/.f64 1 b) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) (sqrt.f64 (*.f64 b a))) (/.f64 (cbrt.f64 (/.f64 1 b)) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b -2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 b -2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 b) (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 b -2) a)))))))

simplify237.0ms (2.4%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
559×fabs-mul_binary64
523×pow-sqr_binary64
457×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010504
121504
238504
379504
4210504
5702504
61899504
72776504
82940504
93124504
103332504
113629504
124022504
134501504
145069504
155761504
166602504
177000504
187288504
197560504
207630504
217666504
Stop Event
node limit
Counts
112 → 68
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
Outputs
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b))
(/.f64 (PI.f64) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 (/.f64 1 a) (*.f64 b b))
(/.f64 (/.f64 1 (*.f64 b b)) a)
(/.f64 1 (*.f64 a (*.f64 b b)))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 a (PI.f64)) a)
0.3b
(/.f64 a (PI.f64))
0.8b
(/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a)))
5.7b
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 61 to 32 computations (47.5% saved)

series27.0ms (0.3%)

Counts
4 → 48
Calls

15 calls:

TimeVariablePointExpression
19.0ms
a
@0
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@0
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@-inf
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
a
@-inf
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms
b
@inf
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
801×log-prod_binary64
604×prod-diff_binary64
276×log-div_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
131347
2450247
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a)))
(/.f64 a (PI.f64))
(*.f64 (/.f64 a (PI.f64)) a)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 a (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) a) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 a (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 a (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a (PI.f64)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 a (PI.f64)))) 1))))))

simplify134.0ms (1.4%)

Algorithm
egg-herbie
Rules
728×times-frac_binary64
574×associate-/r*_binary64
536×unswap-sqr_binary64
509×associate-/l/_binary64
472×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019753
143753
2106663
3292663
41077663
55166663
66759663
76996663
87248663
97539663
107922663
Stop Event
node limit
Counts
205 → 167
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 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 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 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 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 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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
Outputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3))
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3))
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3))
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64)))
(+.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 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))

eval245.0ms (2.5%)

Compiler

Compiled 10754 to 5741 computations (46.6% saved)

prune181.0ms (1.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New6388646
Fresh4812
Picked101
Done325
Total64618664
Error
0b
Counts
664 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
24.9b
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2)
31.9b
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
26.1b
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
0.9b
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2)
0.3b
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
29.5b
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
4.7b
(*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a))
24.9b
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
29.4b
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
1.0b
(/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
24.9b
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
15.1b
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2)
29.5b
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
32.0b
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
26.2b
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
31.7b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
24.9b
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
24.9b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
Compiler

Compiled 442 to 321 computations (27.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1/2 (+.f64 b a))
0.3b
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
0.5b
(/.f64 (PI.f64) (*.f64 b a))
Compiler

Compiled 33 to 12 computations (63.6% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 1/2 (+.f64 b a))
0.0ms
b
@inf
(/.f64 1/2 (+.f64 b a))
0.0ms
a
@0
(/.f64 1/2 (+.f64 b a))
0.0ms
a
@inf
(/.f64 1/2 (+.f64 b a))
0.0ms
b
@-inf
(/.f64 1/2 (+.f64 b a))

rewrite104.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
644×log-prod_binary64
610×prod-diff_binary64
237×log-div_binary64
221×pow1/3_binary64
215×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
123032
2350332
Stop Event
node limit
Counts
3 → 147
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(/.f64 1/2 (+.f64 b a))
Outputs
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*.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) 2) (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 1 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)) (sqrt.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 b) a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)))))) (#(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 (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 1 (cbrt.f64 (pow.f64 (*.f64 b a) 2))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 b a) 2))) (cbrt.f64 (/.f64 (/.f64 (PI.f64) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 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1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 b a))) (sqrt.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b a)) 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 b b) (*.f64 a a))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (+.f64 b a))) 1))))))

simplify146.0ms (1.5%)

Algorithm
egg-herbie
Rules
723×associate-*l*_binary64
504×associate-/l/_binary64
425×associate-/r/_binary64
386×associate-+l+_binary64
352×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0811506
12411494
27311410
327001368
459601308
564511308
668751308
779791308
Stop Event
node limit
Counts
219 → 179
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 (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 (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 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 a))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(+.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 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.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 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))
(+.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 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (*.f64 b b))))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (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 (/.f64 b (pow.f64 a 5)) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 b))
(*.f64 (PI.f64) (/.f64 1/2 (*.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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.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 (/.f64 (PI.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 -1/2 b) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 a a) (pow.f64 b 5))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.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 -1/2 (/.f64 (pow.f64 b 5) a)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 b))
(*.f64 (PI.f64) (/.f64 1/2 (*.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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.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 (/.f64 (PI.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 -1/2 b) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 a a) (pow.f64 b 5))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.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 -1/2 (/.f64 (pow.f64 b 5) a)))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 b))
(*.f64 (PI.f64) (/.f64 1/2 (*.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 (/.f64 (PI.f64) a) (*.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.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 (/.f64 (PI.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 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b))))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 -1/2 b) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.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 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.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 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 a a) (pow.f64 b 5))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)) (*.f64 1/2 (/.f64 (/.f64 a b) b)))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.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 -1/2 (/.f64 (pow.f64 b 5) a)))))
(*.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 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 a))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
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(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 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
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(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 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))
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(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 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (*.f64 b b))))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (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 (/.f64 b (pow.f64 a 5)) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) 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 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 a))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
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(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 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
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(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 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(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 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))
(+.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 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (*.f64 b b))))))
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (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 (/.f64 b (pow.f64 a 5)) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b)))))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 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 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a))))
(+.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))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))))
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a)))))
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 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))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)))
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) 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)))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b)))))
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 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))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)))
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) 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)))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b)))))
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)))
(/.f64 1/2 b)
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b)))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 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))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)))
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) 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)))))
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b)))))
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 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 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a))))
(+.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))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))))
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a)))))
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))
(/.f64 1/2 a)
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a)))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 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 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a))))
(+.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))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))))
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a)))))
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
8.6b
(/.f64 (/.f64 1/2 b) (*.f64 a a))
Compiler

Compiled 28 to 14 computations (50% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
1.0ms
b
@0
(/.f64 (/.f64 1/2 b) (*.f64 a a))
1.0ms
b
@0
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
1.0ms
b
@inf
(/.f64 (/.f64 1/2 b) (*.f64 a a))
1.0ms
a
@0
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
511×log-prod_binary64
421×prod-exp_binary64
391×exp-prod_binary64
329×pow-prod-down_binary64
257×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119724
2270824
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(/.f64 (/.f64 1/2 b) (*.f64 a a))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 4)) (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) a) (/.f64 (cbrt.f64 (/.f64 1/2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (cbrt.f64 a) a)) (/.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 a) a)) (/.f64 (/.f64 1/2 b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (*.f64 (cbrt.f64 a) a)) (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 (cbrt.f64 a) a)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) (*.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b 2) (*.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b (*.f64 a a)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 b 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/2 b) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 (*.f64 b 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 b)) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 b)) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 (*.f64 a b))) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 -2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 a)) (*.f64 (log.f64 (/.f64 1/2 b)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a a) (*.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 b 2)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) 1) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (PI.f64)) (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 b) (PI.f64)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 -1/2 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (fma.f64 2 (log.f64 a) (log.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1)))))))

simplify141.0ms (1.4%)

Algorithm
egg-herbie
Rules
861×associate-/l/_binary64
623×*-commutative_binary64
579×sqr-pow_binary64
562×associate-*l/_binary64
452×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
124576
256576
3151576
4499576
52016576
62787576
73201576
83316576
93466576
103644576
115477576
126021576
136391576
146847576
157428576
Stop Event
node limit
Counts
157 → 113
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
Outputs
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(/.f64 1/2 (*.f64 (pow.f64 a 2) b))
(/.f64 1/2 (*.f64 (*.f64 a a) b))
(/.f64 1/2 (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 a) a) b)
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 a (PI.f64))
0.3b
(/.f64 1/2 (/.f64 a (PI.f64)))
9.0b
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite67.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
553×log-prod_binary64
431×exp-prod_binary64
316×pow-prod-down_binary64
266×pow2_binary64
212×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
120322
2294122
Stop Event
node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 1/2 (/.f64 a (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (PI.f64) a) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4)) (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 (PI.f64) a)) (/.f64 1 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -2) (*.f64 (PI.f64) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (PI.f64) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 1) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) 1) (/.f64 (PI.f64) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) b) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (cbrt.f64 b) b)) (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) (*.f64 (cbrt.f64 b) b)) (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (*.f64 (cbrt.f64 b) b)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (*.f64 (cbrt.f64 b) b)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) 2) (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b b)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (PI.f64)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a (PI.f64)) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a (PI.f64)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 1) 1))))))

simplify177.0ms (1.8%)

Algorithm
egg-herbie
Rules
754×associate-*r/_binary64
743×associate-/r/_binary64
621×*-commutative_binary64
579×sqr-pow_binary64
553×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
124432
252432
3137432
4434432
51792432
63351432
74035432
84149432
94296432
104471432
114722432
125773432
136223432
146689432
157272432
167980432
Stop Event
node limit
Counts
135 → 102
Calls
Call 1
Inputs
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.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 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
(*.f64 1/2 (/.f64 (PI.f64) a))
Outputs
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)
(*.f64 1/2 (/.f64 (PI.f64) a))
(/.f64 (*.f64 1/2 (PI.f64)) a)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
0.1b
(/.f64 (/.f64 (PI.f64) a) a)
0.3b
(/.f64 (PI.f64) a)
8.8b
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
Compiler

Compiled 30 to 9 computations (70% saved)

series8.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/.f64 (/.f64 (PI.f64) a) a)
1.0ms
b
@-inf
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
1.0ms
a
@0
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
0.0ms
b
@0
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
0.0ms
b
@-inf
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)

rewrite116.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
587×log-prod_binary64
368×pow-prod-down_binary64
275×pow2_binary64
271×log-div_binary64
195×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
120733
2307433
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
(/.f64 (/.f64 (PI.f64) a) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 (PI.f64) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) 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simplify216.0ms (2.2%)

Algorithm
egg-herbie
Rules
917×associate-*r/_binary64
835×associate-/r/_binary64
671×*-commutative_binary64
649×associate-*l/_binary64
440×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011696
121696
251696
3139696
4458696
51859696
63661696
74075696
84190696
94337696
104518696
114771696
126102696
136750696
147215696
157804696
Stop Event
node limit
Counts
206 → 152
Calls
Call 1
Inputs
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
Outputs
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/.f64 (PI.f64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a)
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b))))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
0.2b
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
0.3b
(/.f64 (PI.f64) a)
0.3b
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
Compiler

Compiled 47 to 28 computations (40.4% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
1.0ms
a
@-inf
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
b
@-inf
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
1.0ms
b
@0
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
1.0ms
a
@0
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

rewrite113.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
769×log-prod_binary64
396×log-div_binary64
367×fma-def_binary64
255×expm1-udef_binary64
255×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
128437
2454737
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
Outputs
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(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (sqrt.f64 a)) (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) 1) (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) 1) (/.f64 (/.f64 (PI.f64) a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 (PI.f64) a) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 a)) (/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (PI.f64)) (/.f64 a (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) 1))))))

simplify103.0ms (1%)

Algorithm
egg-herbie
Rules
816×times-frac_binary64
647×associate-/l/_binary64
566×associate-/r*_binary64
536×unswap-sqr_binary64
501×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022987
153987
2130807
3324807
41197807
55680807
67332807
77536807
87789807
Stop Event
node limit
Counts
191 → 155
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 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 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 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 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 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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
(+.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 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))))
Outputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(*.f64 (PI.f64) (/.f64 -1/2 (*.f64 a a)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a)
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a)
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a)
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b)))
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))))
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(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
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(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
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(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
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(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
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(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
(/.f64 (PI.f64) (/.f64 (*.f64 a b) (/.f64 1/2 a)))
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(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 a) (/.f64 1/2 b)))
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(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 a) (/.f64 1/2 b)))
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(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
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(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
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(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
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(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
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(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))
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(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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
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(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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(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 a) (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))

eval361.0ms (3.6%)

Compiler

Compiled 14340 to 7873 computations (45.1% saved)

prune187.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New8867893
Fresh5611
Picked101
Done516
Total89714911
Error
0b
Counts
911 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
26.1b
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
1.0b
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
31.7b
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
26.1b
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
26.2b
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
3.8b
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a)
26.2b
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
26.2b
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
29.4b
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
24.9b
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
24.9b
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
24.9b
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
24.9b
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
Compiler

Compiled 158 to 114 computations (27.8% saved)

regimes95.0ms (1%)

Counts
51 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a)
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2)
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
(*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 2 (*.f64 b a)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2)
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a)))))
(*.f64 (/.f64 1 (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
Calls

3 calls:

33.0ms
b
27.0ms
a
16.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
0.3b1(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Compiler

Compiled 751 to 377 computations (49.8% saved)

regimes40.0ms (0.4%)

Counts
26 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a)
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2)
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
Calls

2 calls:

19.0ms
a
14.0ms
b
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
Compiler

Compiled 252 to 119 computations (52.8% saved)

regimes33.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a)
Outputs
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
Calls

2 calls:

14.0ms
b
13.0ms
a
Results
ErrorSegmentsBranch
1.0b1a
1.0b1b
Compiler

Compiled 219 to 104 computations (52.5% saved)

regimes79.0ms (0.8%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b))
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
Calls

2 calls:

41.0ms
a
32.0ms
b
Results
ErrorSegmentsBranch
7.5b3a
3.2b3b
Compiler

Compiled 197 to 94 computations (52.3% saved)

bsearch55.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
2148448582873963.0
28010988298029468.0
27.0ms
-2117645.706398232
-940.1320737774415
Compiler

Compiled 28 to 21 computations (25% saved)

regimes55.0ms (0.6%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a)))
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
Calls

2 calls:

29.0ms
a
22.0ms
b
Results
ErrorSegmentsBranch
7.5b3a
3.2b3b
Compiler

Compiled 116 to 60 computations (48.3% saved)

bsearch54.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
2148448582873963.0
28010988298029468.0
27.0ms
-2117645.706398232
-940.1320737774415
Compiler

Compiled 28 to 21 computations (25% saved)

regimes45.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
Outputs
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)
Calls

2 calls:

24.0ms
a
18.0ms
b
Results
ErrorSegmentsBranch
7.5b3a
3.3b3b
Compiler

Compiled 98 to 53 computations (45.9% saved)

bsearch80.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
52.0ms
2148448582873963.0
28010988298029468.0
28.0ms
-2117645.706398232
-940.1320737774415
Compiler

Compiled 28 to 21 computations (25% saved)

regimes81.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
Outputs
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
Calls

2 calls:

55.0ms
b
23.0ms
a
Results
ErrorSegmentsBranch
7.6b3a
3.3b3b
Compiler

Compiled 89 to 49 computations (44.9% saved)

bsearch75.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
2148448582873963.0
28010988298029468.0
28.0ms
-2117645.706398232
-940.1320737774415
Compiler

Compiled 28 to 21 computations (25% saved)

regimes12.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
Outputs
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
Calls

2 calls:

5.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
26.1b1a
26.1b1b
Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes20.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)
Outputs
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
Calls

2 calls:

14.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
26.1b1a
26.1b1b
Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -5.9b remaining (-22.4%)

Threshold costs -5.9b (-22.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))
Outputs
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
ErrorSegmentsBranch
26.1b1a
26.1b1b
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify35.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050309
162309
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a)))
(/.f64 1/2 (*.f64 (+.f64 b a) (/.f64 b (/.f64 (PI.f64) a))))
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -1136902381686903/536870912) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -1136902381686903/536870912) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -1136902381686903/536870912) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2)))
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))
(if (<=.f64 b -1136902381686903/536870912) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2)))
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a)
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b a))) a)
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
Compiler

Compiled 220 to 144 computations (34.5% saved)

soundness0.0ms (0%)

end131.0ms (1.3%)

Compiler

Compiled 202 to 97 computations (52% saved)

Profiling

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