Details

Time bar (total: 17.6s)

analyze562.0ms (3.2%)

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
0%99.9%0.1%6
0%95.2%4.8%7
6.2%88.2%5.6%8
10.1%80.4%9.5%9
15.2%72.2%12.6%10
22.2%62.5%15.3%11
29.1%52.5%18.5%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.3s (13.3%)

Results
824.0ms5571×body256valid
670.0ms1139×body2048valid
261.0ms756×body1024valid
227.0ms418×body4096valid
213.0ms1649×body256invalid
90.0ms372×body512valid

preprocess173.0ms (1%)

Algorithm
egg-herbie
Rules
1000×fma-def_binary64
869×fma-neg_binary64
582×div-sub_binary64
515×associate-/l*_binary64
440×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
18280
216780
339080
469480
5125680
6328380
7584680
8677180
9707080
10714380
11720780
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (+.f64 a (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a)))) (neg.f64 b_2))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) c)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a))))) a)
(/.f64 (+.f64 c (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) (neg.f64 a))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify137.0ms (0.8%)

Algorithm
egg-herbie
Rules
518×div-sub_binary64
428×fma-neg_binary64
310×distribute-rgt-in_binary64
289×distribute-lft-in_binary64
260×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
12720
25720
312620
421620
539420
666420
7101120
8122420
9161120
10315620
11586820
12596620
13597420
14598220
15598220
16604020
17607620
18610620
19611820
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)

eval1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
37.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
0.8b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
1.5b
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
25.2b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 53 to 10 computations (81.1% saved)

series48.0ms (0.3%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
3.0ms
b_2
@0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
2.0ms
b_2
@-inf
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
2.0ms
a
@inf
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
2.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite213.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
693×fma-def_binary64
645×log-prod_binary64
352×fma-neg_binary64
221×pow1/3_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01159
126255
2408252
Stop Event
node limit
Counts
4 → 381
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a 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(neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) 1) (/.f64 (sqrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))))

simplify237.0ms (1.4%)

Algorithm
egg-herbie
Rules
671×fma-def_binary64
606×times-frac_binary64
583×associate-*r*_binary64
563×fma-neg_binary64
550×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01512181
14702117
215702070
372322034
Stop Event
node limit
Counts
477 → 456
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 b_2) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))) b_2)
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))) b_2)
(fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2)))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (fma.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 c (*.f64 c (*.f64 a a))) (neg.f64 b_2)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))) b_2))
(fma.f64 1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))))
(fma.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (fma.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 c (*.f64 c (*.f64 a a))) (neg.f64 b_2))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 b_2) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(*.f64 -1 (+.f64 b_2 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1))) b_2)
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2 (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)))) b_2)
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) -1/2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
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(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (/.f64 c a)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) (/.f64 (neg.f64 b_2) a))
(neg.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) (/.f64 (neg.f64 b_2) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (neg.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) -1/2)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (neg.f64 b_2) a))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (neg.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))))))
(fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (-.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1/16 (*.f64 a a))))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)))))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a))))))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7))) (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1/16 (*.f64 a a))))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1/16 (*.f64 a a))))))

eval295.0ms (1.7%)

Compiler

Compiled 11079 to 3311 computations (70.1% saved)

prune192.0ms (1.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New43422456
Fresh000
Picked011
Done000
Total43423457
Error
4.5b
Counts
457 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
49.2b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
36.7b
(*.f64 -1/2 (/.f64 c b_2))
44.2b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) a)
37.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.1b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
40.6b
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
51.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
37.3b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
37.3b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
44.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
55.6b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
47.6b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
55.5b
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
57.5b
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
39.6b
(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
60.1b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
42.6b
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
44.1b
(/.f64 (*.f64 b_2 -2) a)
49.1b
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
49.4b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
60.4b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
49.4b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
53.7b
(/.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
Compiler

Compiled 754 to 514 computations (31.8% saved)

localize27.0ms (0.2%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize12.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
30.6b
(sqrt.f64 (*.f64 b_2 b_2))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b_2
@inf
(sqrt.f64 (*.f64 b_2 b_2))
0.0ms
b_2
@0
(sqrt.f64 (*.f64 b_2 b_2))
0.0ms
b_2
@-inf
(sqrt.f64 (*.f64 b_2 b_2))

rewrite121.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
393×log1p-udef_binary64
281×associate-*r*_binary64
269×associate-*l*_binary64
262×pow1_binary64
254×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041
1801
27281
375101
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 b_2 b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b_2)) 2)) (log.f64 (cbrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b_2))) (log.f64 (sqrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (cbrt.f64 (cbrt.f64 (pow.f64 b_2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b_2 8))) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/6) (*.f64 (pow.f64 b_2 1/6) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (sqrt.f64 (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (pow.f64 (pow.f64 b_2 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (*.f64 (pow.f64 b_2 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (pow.f64 b_2 1/4)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b_2 5/2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 b_2 3/2)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 5))) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 3/2) 1/2) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/2) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 8)) 1/3) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 5/2) 1/3) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (cbrt.f64 b_2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 b_2 1/6)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b_2 1) 3) 1) (+.f64 (*.f64 (+.f64 b_2 1) (+.f64 b_2 1)) (+.f64 1 (+.f64 b_2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 b_2 1) (+.f64 b_2 1)) 1) (+.f64 (+.f64 b_2 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (cbrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (sqrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 b_2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 b_2) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
+-commutative_binary64
fma-def_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0420
1620
2820
3920
41120
51520
61920
72420
Stop Event
saturated
Counts
70 → 61
Calls
Call 1
Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
0.8b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
11.7b
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
25.9b
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
Compiler

Compiled 73 to 26 computations (64.4% saved)

series59.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
4.0ms
a
@-inf
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
4.0ms
b_2
@inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
3.0ms
b_2
@0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
3.0ms
b_2
@inf
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)

rewrite89.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
615×log-prod_binary64
613×fma-def_binary64
342×pow2_binary64
291×fma-neg_binary64
232×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01344
130640
2406538
Stop Event
node limit
Counts
3 → 166
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 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simplify123.0ms (0.7%)

Algorithm
egg-herbie
Rules
791×fma-def_binary64
619×associate-*r*_binary64
478×times-frac_binary64
460×associate-*l*_binary64
370×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05907850
121996753
Stop Event
node limit
Counts
274 → 355
Calls
Call 1
Inputs
(pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (*.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
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(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))))))
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(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2))
(+.f64 (*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
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(*.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(+.f64 (*.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))))
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
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(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (*.f64 (pow.f64 b_2 6) (+.f64 (*.f64 -7/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (*.f64 -1/2 (/.f64 (*.f64 c (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))) (*.f64 c (pow.f64 a 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) c))) (pow.f64 a 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 b_2 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (*.f64 -1/2 (/.f64 (*.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
Outputs
(pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -7/128 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (*.f64 (*.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
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0
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(neg.f64 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))
(neg.f64 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))
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b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))))
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(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (*.f64 a a))) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 c (pow.f64 b_2 5)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)))) (*.f64 (/.f64 c b_2) a)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 (*.f64 1/8 c) c) (*.f64 a a)) (pow.f64 b_2 3))) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32)))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 (fma.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/128)) (pow.f64 b_2 5)) (*.f64 1/4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c (pow.f64 b_2 5)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)))) (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (*.f64 a a)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 1/4 (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 3)))))) b_2)
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 (*.f64 2 b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))) (*.f64 a a) (+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 b_2)) (/.f64 1/16 (/.f64 (pow.f64 b_2 3) (*.f64 c c)))) (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (*.f64 -1/2 (/.f64 (*.f64 c (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 (*.f64 2 b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))) (*.f64 a a) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b_2 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))))) (+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 b_2)) (/.f64 1/16 (/.f64 (pow.f64 b_2 3) (*.f64 c c)))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b_2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128)) (/.f64 (*.f64 c -1/2) (/.f64 b_2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)))) (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 c c)) a)) (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))) (*.f64 c (pow.f64 a 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) (*.f64 a a))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32)) (pow.f64 a 3))) (fma.f64 2 (/.f64 (fma.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) -5/96)) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2))) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 a 3) (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 c c)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) c)) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) -7/128) (pow.f64 a 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 c c)) a)) (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) c) (/.f64 (*.f64 b_2 b_2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
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(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) c) (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) -11/384))) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (/.f64 c (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))) (pow.f64 a 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (*.f64 a a) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32))) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4))))))))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) a)) (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) (*.f64 c c))) (/.f64 a -3/32))) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 4) (*.f64 a a))))))) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) 7/128)) (/.f64 (*.f64 (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 c c)))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)) c)) (pow.f64 a 3))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 b_2 (fma.f64 (*.f64 c c) (fma.f64 2 (*.f64 b_2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 4)) -3/32)) (*.f64 1/16 (/.f64 (*.f64 a a) (pow.f64 b_2 3)))) (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))
(+.f64 b_2 (fma.f64 (*.f64 c c) (fma.f64 2 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) a)) (*.f64 -3/32 b_2)) (/.f64 (*.f64 (*.f64 1/16 a) a) (pow.f64 b_2 3))) (*.f64 (*.f64 (/.f64 c b_2) a) -1/2)))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 b_2 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (*.f64 -1/2 (/.f64 (*.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (pow.f64 c 3) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (fma.f64 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) b_2 (*.f64 -1/2 (/.f64 (*.f64 a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 4)) -3/32)) b_2)))) (+.f64 b_2 (fma.f64 (*.f64 c c) (fma.f64 2 (*.f64 b_2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 4)) -3/32)) (*.f64 1/16 (/.f64 (*.f64 a a) (pow.f64 b_2 3)))) (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))))
(+.f64 (fma.f64 (pow.f64 c 3) (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128) (+.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) a)) (*.f64 -3/32 a)) -1/2) b_2)) b_2) (fma.f64 (*.f64 c c) (fma.f64 2 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) a)) (*.f64 -3/32 b_2)) (/.f64 (*.f64 (*.f64 1/16 a) a) (pow.f64 b_2 3))) (*.f64 (*.f64 (/.f64 c b_2) a) -1/2)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)))))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))
(fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c c) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32))) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)))))))
(fma.f64 2 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) c)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (*.f64 a a))) (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c c) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32))) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -11/128)))) (*.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)))))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) a) (/.f64 (*.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a))) (pow.f64 c 3))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) c)) (+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (*.f64 a a))) (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (/.f64 (pow.f64 c 3) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -7/128))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (*.f64 (/.f64 b_2 (/.f64 a b_2)) -1/2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a))) (pow.f64 c 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 1/2 (*.f64 (*.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) a)) (pow.f64 c 3)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
0.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
3.1b
(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))
Compiler

Compiled 71 to 13 computations (81.7% saved)

series620.0ms (3.5%)

Counts
4 → 20
Calls

33 calls:

TimeVariablePointExpression
132.0ms
a
@inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
86.0ms
a
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
66.0ms
a
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
54.0ms
c
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
41.0ms
a
@-inf
(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite378.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
735×prod-diff_binary64
624×log-prod_binary64
244×fma-def_binary64
218×expm1-udef_binary64
218×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
129353
2376753
Stop Event
node limit
Counts
4 → 438
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
(/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (cbrt.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (*.f64 a c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a c) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a c))) 1))))))
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simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
688×associate-/r*_binary64
680×associate-/l*_binary64
329×associate-*r*_binary64
308×distribute-lft-in_binary64
308×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02583015
17952644
232122538
Stop Event
node limit
Counts
458 → 303
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (*.f64 (pow.f64 b_2 2) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 b_2 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 (*.f64 1 a) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (*.f64 (pow.f64 b_2 2) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(+.f64 (*.f64 b_2 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(+.f64 (*.f64 b_2 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (*.f64 (sqrt.f64 1) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1)) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 b_2 2)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))))
(+.f64 (*.f64 b_2 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (*.f64 (sqrt.f64 1) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1)) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 b_2 2)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (*.f64 (sqrt.f64 1) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 5)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 (/.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (sqrt.f64 1)))))) (cbrt.f64 -1)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))))))) (pow.f64 b_2 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
Outputs
(*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))
(*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1)))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 -1 (*.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (*.f64 -1 (*.f64 (pow.f64 a 8) c))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c)) 1/18)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (*.f64 (pow.f64 b_2 2) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 a c) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (*.f64 -1 (/.f64 a c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) -1/3)))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 -1 (*.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (*.f64 -1 (*.f64 (pow.f64 a 8) c))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 a (neg.f64 c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (sqrt.f64 -1)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c)) 1/18))))))
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(+.f64 (/.f64 b_2 a) (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))))
(+.f64 (-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)))
(+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (-.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (pow.f64 b_2 4)) (neg.f64 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (/.f64 c a)))))))
(*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (neg.f64 a) a)) (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -1/8)) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (neg.f64 a) a)) (/.f64 1/2 (/.f64 b_2 c)))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) 1/2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) -1/8)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) -1/8 (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8 (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) 1/16))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2)) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) 1/16)))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c))) (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (neg.f64 a) a)) 1/16)))

eval620.0ms (3.5%)

Compiler

Compiled 36430 to 16695 computations (54.2% saved)

prune177.0ms (1%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New88719906
Fresh71017
Picked101
Done145
Total89633929
Error
0.7b
Counts
929 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
49.2b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
36.7b
(*.f64 -1/2 (/.f64 c b_2))
62.4b
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
53.4b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
47.7b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
46.4b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
37.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.1b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
40.6b
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
59.0b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
51.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
63.4b
(/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
37.3b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
60.4b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
63.6b
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
63.6b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
51.8b
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
55.9b
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
55.5b
(/.f64 0 a)
53.7b
(/.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
42.6b
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
55.5b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
55.4b
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
63.4b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
44.1b
(/.f64 (*.f64 b_2 -2) a)
62.7b
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
46.5b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
46.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
59.2b
(/.f64 (neg.f64 b_2) a)
44.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
47.6b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
60.1b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
49.7b
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
Compiler

Compiled 1024 to 724 computations (29.3% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
2.9b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))
Compiler

Compiled 62 to 13 computations (79% saved)

series19.0ms (0.1%)

Counts
2 → 28
Calls

18 calls:

TimeVariablePointExpression
2.0ms
c
@inf
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms
a
@inf
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms
a
@-inf
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms
c
@-inf
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
1.0ms
c
@inf
(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)

rewrite121.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
603×log-prod_binary64
468×prod-diff_binary64
296×pow2_binary64
260×pow-unpow_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01337
127131
2356431
Stop Event
node limit
Counts
2 → 227
Calls
Call 1
Inputs
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
Outputs
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c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a a)))) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a))) (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a a)))) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a))) (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)) 1))))))

simplify81.0ms (0.5%)

Algorithm
egg-herbie
Rules
661×associate-*r*_binary64
612×associate-*l*_binary64
532×fma-neg_binary64
494×times-frac_binary64
445×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281075
1385891
21379827
36855825
Stop Event
node limit
Counts
255 → 275
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(/.f64 (-.f64 (*.f64 -1 b_2) b_2) a)
(-.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(/.f64 b_2 a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (/.f64 b_2 a))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (/.f64 b_2 a) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(/.f64 b_2 a)
(/.f64 b_2 a)
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (neg.f64 b_2) a))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (-.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 c b_2) 1/2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(fma.f64 1/8 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 c b_2) 1/2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (+.f64 (*.f64 (/.f64 c b_2) 1/2) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 (pow.f64 c 3) 1/16) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) 1/2)
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 (/.f64 c b_2) -1/2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) -1/8))
(fma.f64 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) -1/8 (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))) (pow.f64 b_2 5)) 1/16)))
(+.f64 (fma.f64 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) -1/8 (/.f64 (*.f64 -1/2 c) b_2)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) 1/16))
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (+.f64 (*.f64 (/.f64 c b_2) -1/2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1/16 (*.f64 a a)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) 2) (*.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))) (pow.f64 b_2 5)) 1/16))))
(+.f64 (fma.f64 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) 1/16)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 a 4) (*.f64 1 (pow.f64 c 4))) (pow.f64 (*.f64 -1/8 (*.f64 1 (*.f64 (*.f64 a a) (*.f64 c c)))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 (*.f64 -1/2 c) b_2)))
(+.f64 (*.f64 (/.f64 c b_2) -1/2) (fma.f64 (/.f64 -1/2 a) (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1/16 (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 -1 b_2) b_2) a)
(*.f64 (/.f64 b_2 a) -2)
(/.f64 b_2 (/.f64 a -2))
(-.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(/.f64 b_2 (/.f64 a -2))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (*.f64 (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1) -1/8))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1)) -1/8 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))))))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
(/.f64 b_2 a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (/.f64 b_2 a))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 (/.f64 (neg.f64 c) b_2) 1/2 (/.f64 b_2 a))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (/.f64 b_2 a) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 b_2 a)) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) -1/8))
(+.f64 (/.f64 b_2 a) (fma.f64 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) -1/8 (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (fma.f64 (/.f64 (neg.f64 c) b_2) 1/2 (/.f64 b_2 a)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))) (pow.f64 b_2 5)) 1/16)))
(+.f64 (/.f64 b_2 a) (+.f64 (fma.f64 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) -1/8 (/.f64 (*.f64 -1/2 c) b_2)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) 1/16)))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1/16 (*.f64 a a))) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (fma.f64 (/.f64 (neg.f64 c) b_2) 1/2 (/.f64 b_2 a))))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (neg.f64 b_2) a))
(-.f64 (/.f64 (*.f64 1/2 c) b_2) (/.f64 b_2 a))
(-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (neg.f64 b_2) a)))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) (/.f64 (*.f64 1/2 c) b_2)) (/.f64 b_2 a))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a)))
(-.f64 (*.f64 (/.f64 c b_2) 1/2) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (/.f64 b_2 a)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (/.f64 b_2 a) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) (/.f64 (neg.f64 b_2) a)) (fma.f64 1/8 (/.f64 (*.f64 1 (*.f64 a (*.f64 c c))) (pow.f64 b_2 3)) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) 1/16) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (-.f64 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) 1/2))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1/16 (*.f64 a a)) (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
(/.f64 b_2 a)
(/.f64 b_2 a)

localize3.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.5b
(exp.f64 (log.f64 b_2))
Compiler

Compiled 26 to 8 computations (69.2% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
b_2
@0
(exp.f64 (log.f64 b_2))
0.0ms
b_2
@-inf
(exp.f64 (log.f64 b_2))
0.0ms
b_2
@inf
(exp.f64 (log.f64 b_2))

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
479×fma-neg_binary64
374×expm1-udef_binary64
374×log1p-udef_binary64
258×associate-*r*_binary64
246×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041
1631
26351
367361
Stop Event
node limit
Counts
1 → 60
Calls
Call 1
Inputs
(exp.f64 (log.f64 b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 b_2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b_2))) (log.f64 (sqrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b_2)) 2)) (log.f64 (cbrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/6) (*.f64 (pow.f64 b_2 1/6) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (sqrt.f64 (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (*.f64 (pow.f64 b_2 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (pow.f64 b_2 1/4)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b_2 5/2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 b_2 (cbrt.f64 b_2)) 2)) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 5)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 b_2 3/2)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 b_2 (cbrt.f64 b_2)) 2) 1/3) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 5/2) 1/3) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 b_2))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 b_2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (cbrt.f64 b_2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 b_2 1/6)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 (log.f64 b_2) 1)) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (+.f64 (log.f64 b_2) 1)) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b_2 1) 3) 1) (+.f64 (*.f64 (+.f64 b_2 1) (+.f64 b_2 1)) (+.f64 1 (+.f64 b_2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 b_2 -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b_2 -1) 2) (+.f64 b_2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 b_2 1) (+.f64 b_2 1) -1) (+.f64 (+.f64 b_2 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 b_2 -1) 2)) (-.f64 1 (+.f64 b_2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (cbrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (sqrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 b_2))) (pow.f64 (cbrt.f64 (log.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 b_2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (pow.f64 (log.f64 b_2) 1/6)) (pow.f64 (log.f64 b_2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (cbrt.f64 (log.f64 b_2))) (pow.f64 (log.f64 b_2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (pow.f64 (log.f64 b_2) 1/4)) (pow.f64 (log.f64 b_2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b_2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b_2 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b_2 1)) (cbrt.f64 (+.f64 b_2 1))) (cbrt.f64 (+.f64 b_2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b_2 1)) (sqrt.f64 (+.f64 b_2 1)) -1)))))

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
saturated
Counts
72 → 61
Calls
Call 1
Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
4.3b
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))
22.7b
(-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 115 to 21 computations (81.7% saved)

series76.0ms (0.4%)

Counts
3 → 50
Calls

24 calls:

TimeVariablePointExpression
27.0ms
b_2
@inf
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
17.0ms
c
@0
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
7.0ms
c
@-inf
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
6.0ms
c
@inf
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
4.0ms
a
@inf
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
736×log-prod_binary64
445×fma-neg_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
210×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01556
134922
2525722
Stop Event
node limit
Counts
3 → 239
Calls
Call 1
Inputs
(-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(sqrt.f64 (neg.f64 (*.f64 a c)))
(*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (fma.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (+.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 c) a)) (cbrt.f64 (pow.f64 (exp.f64 c) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (neg.f64 (cbrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (*.f64 (pow.f64 (*.f64 a c) 1/4) (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) c)))) (#(struct:change #<rule egg-rr> (2) 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egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3) (pow.f64 (*.f64 a c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))

simplify121.0ms (0.7%)

Algorithm
egg-herbie
Rules
750×times-frac_binary64
644×fma-neg_binary64
603×fma-def_binary64
522×associate-/l*_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120913
1392765
21810693
37839690
Stop Event
node limit
Counts
289 → 263
Calls
Call 1
Inputs
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a (pow.f64 b_2 5))))))))))))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (neg.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1))
(+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1 b_2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1 (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (neg.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1)) (*.f64 b_2 (*.f64 b_2 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 1 b_2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (sqrt.f64 -1)))) (pow.f64 b_2 3) (fma.f64 -1 (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (neg.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 c (*.f64 a 1))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2))) (sqrt.f64 -1))) (pow.f64 b_2 3) (-.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1)) (*.f64 b_2 (*.f64 b_2 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2))))))
(+.f64 (*.f64 1 b_2) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) 1) (/.f64 1/2 (*.f64 c a))) (pow.f64 b_2 3) (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1/2 (sqrt.f64 -1))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) 1) (/.f64 1/2 (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1/2 (sqrt.f64 -1)))) (*.f64 1 b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(/.f64 (*.f64 (*.f64 c a) 1/2) b_2)
(*.f64 (/.f64 (*.f64 c 1/2) b_2) a)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 -1 (*.f64 a a)))))))
(fma.f64 1/2 (*.f64 (/.f64 a b_2) c) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a (neg.f64 a)))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 -1 (*.f64 a a)) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 1/16 (pow.f64 c 3)) (*.f64 1 (pow.f64 a 3))) (pow.f64 b_2 5))))
(fma.f64 -1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/2 (*.f64 (/.f64 a b_2) c) (*.f64 (/.f64 (*.f64 1/16 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) 5/128) (pow.f64 b_2 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 -1 (*.f64 a a)) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 1/16 (pow.f64 c 3)) (*.f64 1 (pow.f64 a 3))) (pow.f64 b_2 5))) (/.f64 (*.f64 -1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (/.f64 (pow.f64 b_2 7) 5/128))))
(fma.f64 -1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (*.f64 (/.f64 a b_2) c) (/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) -5/128) (pow.f64 b_2 7)))))
(*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) -2)
(*.f64 (/.f64 b_2 -1) -2)
(*.f64 2 b_2)
(+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (/.f64 (*.f64 c a) b_2) -1/2))
(fma.f64 (/.f64 b_2 -1) -2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 (/.f64 (*.f64 c a) b_2) -1/2))))
(fma.f64 -1/8 (/.f64 (*.f64 -1 (*.f64 a a)) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) (fma.f64 (/.f64 b_2 -1) -2 (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 (/.f64 1/4 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 -1 (*.f64 a a)))))))))
(fma.f64 -1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/4 (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a (pow.f64 b_2 5))))))))))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a) (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) 1/8)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) 2) (*.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 4)) (*.f64 a (pow.f64 b_2 5)))))))))))
(fma.f64 -1/8 (/.f64 (*.f64 -1 (*.f64 a a)) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) (fma.f64 (/.f64 b_2 -1) -2 (fma.f64 1/4 (*.f64 (/.f64 c (pow.f64 b_2 5)) (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 -1 (*.f64 a a)) 1/8)) -1))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 (/.f64 (*.f64 -1 (*.f64 a a)) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) 1/4 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 a (*.f64 a 1))) 2)) (*.f64 (*.f64 c (*.f64 a 1)) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))))))
(+.f64 (fma.f64 1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (fma.f64 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/4 (*.f64 (/.f64 -2 a) (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 c (pow.f64 b_2 5))))))) (fma.f64 -1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/4 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (neg.f64 a)) 1/8)) (neg.f64 a)) (/.f64 c (pow.f64 b_2 5))) (*.f64 2 b_2))))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(/.f64 (*.f64 (*.f64 c a) 1/2) b_2)
(*.f64 (/.f64 (*.f64 c 1/2) b_2) a)
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(/.f64 (*.f64 (*.f64 c a) 1/2) b_2)
(*.f64 (/.f64 (*.f64 c 1/2) b_2) a)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
0.2b
(-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
3.4b
(cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
9.8b
(sqrt.f64 (*.f64 a c))
Compiler

Compiled 78 to 17 computations (78.2% saved)

series469.0ms (2.7%)

Counts
4 → 20
Calls

33 calls:

TimeVariablePointExpression
149.0ms
a
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
70.0ms
a
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
45.0ms
c
@0
(cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
33.0ms
a
@-inf
(cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
29.0ms
c
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)

rewrite106.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
676×log-prod_binary64
538×prod-diff_binary64
254×fma-def_binary64
246×expm1-udef_binary64
246×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
130650
2386150
Stop Event
node limit
Counts
4 → 209
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a c))
(cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
(-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (cbrt.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (*.f64 a c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a c) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (pow.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) 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(hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2)) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (fma.f64 a c (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) -2)) (neg.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) -2) 1) (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) -2) -1) (neg.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)) 1))))))

simplify96.0ms (0.5%)

Algorithm
egg-herbie
Rules
626×times-frac_binary64
513×associate-/r*_binary64
496×distribute-rgt-in_binary64
492×distribute-lft-in_binary64
466×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02472021
17591961
228871933
Stop Event
node limit
Counts
229 → 248
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 8) a)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/3) (/.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 35) a)) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 8) a)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/3) (/.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 35) a)) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 8) a)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/3) (/.f64 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) a))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 13) (pow.f64 a 5))) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 35) a)) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (+.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a)))))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) a)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 (cbrt.f64 -1) 2)))))))
(*.f64 -1 (sqrt.f64 (*.f64 c a)))
(+.f64 b_2 (*.f64 -1 (sqrt.f64 (*.f64 c a))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (pow.f64 b_2 2))) (+.f64 b_2 (*.f64 -1 (sqrt.f64 (*.f64 c a)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (pow.f64 b_2 2))) (+.f64 b_2 (+.f64 (*.f64 -1 (sqrt.f64 (*.f64 c a))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b_2 4))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 2 b_2)
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(*.f64 -1 (sqrt.f64 (/.f64 c a)))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))))) (pow.f64 b_2 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2)))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))))) (pow.f64 b_2 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2))))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 a c) 1/6) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 8) a)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))))
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(-.f64 (fma.f64 (pow.f64 b_2 3) (fma.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 c a) 1/6)) (fma.f64 2/9 (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 4))) 1/18)))) (*.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 (/.f64 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)))))) (cbrt.f64 -1)) -2/3))) (fma.f64 -1/3 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)))))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 c c) (pow.f64 a 16))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 c c) (pow.f64 a 16))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 a c) 1/6) (/.f64 (cbrt.f64 -1) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18))))))))) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18))))))) (fma.f64 b_2 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 a 11)) 1/18) (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 a 11)) 1/18) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 b_2 b_2) (fma.f64 1/3 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18)) 2/9 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 c a) 1/6) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 c c) (pow.f64 a 16))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 c c) (pow.f64 a 16))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 a c) 1/6) (/.f64 (cbrt.f64 -1) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18))))))))))))))) (sqrt.f64 (/.f64 c a)))
(-.f64 (fma.f64 (pow.f64 b_2 3) (fma.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 c a) 1/6)) (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 4))) 1/18)))) (*.f64 (/.f64 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18))))) 2/3))) (cbrt.f64 -1)) (*.f64 (pow.f64 (/.f64 a c) 1/6) -2/3))) (fma.f64 -1/3 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18))))) 2/3))) (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 16)) (*.f64 c c)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 16)) (*.f64 c c)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (/.f64 2/3 (/.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 a c) 1/6) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18))))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18))))))) (*.f64 b_2 (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18) (*.f64 (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) (*.f64 (fma.f64 1/3 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)) 2/9 (*.f64 (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 16)) (*.f64 c c)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 16)) (*.f64 c c)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (/.f64 2/3 (/.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 a c) 1/6) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)))))))) (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 c a) 1/6))))) b_2)))) (sqrt.f64 (/.f64 c a)))

eval583.0ms (3.3%)

Compiler

Compiled 36147 to 11710 computations (67.6% saved)

prune233.0ms (1.3%)

Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New1052101062
Fresh51924
Picked101
Done268
Total1060351095
Error
0.7b
Counts
1095 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
49.2b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
36.7b
(*.f64 -1/2 (/.f64 c b_2))
49.6b
(/.f64 (*.f64 (*.f64 c a) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
46.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
62.4b
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
53.4b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
47.7b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
46.4b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
37.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.1b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
40.6b
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
59.0b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
57.9b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
37.3b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
60.4b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
63.6b
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
41.1b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))) 3)
63.6b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
51.8b
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
42.6b
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
63.4b
(*.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a))
55.9b
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
55.5b
(/.f64 0 a)
53.7b
(/.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
62.8b
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2)) a)
55.4b
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
55.5b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
44.1b
(/.f64 (*.f64 b_2 -2) a)
62.4b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 2 b_2)))) 3)
46.5b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
62.4b
(/.f64 (*.f64 2 b_2) a)
59.2b
(/.f64 (neg.f64 b_2) a)
56.0b
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
47.6b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
60.1b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
Compiler

Compiled 1035 to 739 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
6.1b
(/.f64 a (/.f64 b_2 c))
7.6b
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
Compiler

Compiled 31 to 11 computations (64.5% saved)

series13.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
1.0ms
c
@0
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
1.0ms
c
@inf
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
1.0ms
b_2
@inf
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
1.0ms
b_2
@0
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)

rewrite72.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
619×log-prod_binary64
311×pow-prod-down_binary64
272×pow2_binary64
230×pow-unpow_binary64
204×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
120130
2299624
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 a (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2) (*.f64 (*.f64 a (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 c b_2))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b_2)) 2)) (cbrt.f64 (*.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 c b_2))) (sqrt.f64 (*.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (neg.f64 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 a (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2) (/.f64 (cbrt.f64 a) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 c b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b_2 (*.f64 a c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 a c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 b_2 c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 (*.f64 a c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b_2 (*.f64 a c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 b_2 c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b_2 (*.f64 a c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (/.f64 c b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (/.f64 c b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 a c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c b_2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 c) (*.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 a) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 a)) (neg.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 a) 1) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 a) (pow.f64 (cbrt.f64 (/.f64 b_2 c)) 2)) (cbrt.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 a) (sqrt.f64 (/.f64 b_2 c))) (sqrt.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) -1/2) (neg.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 a)) (neg.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 a (/.f64 c b_2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 c) (*.f64 -1/2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 a (/.f64 c b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 a) (/.f64 c b_2))) 1) 1))))))

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
15×associate-/l*_binary64
12×*-commutative_binary64
associate-*l*_binary64
associate-/r/_binary64
associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010864
119864
234864
357864
480864
590864
Stop Event
saturated
Counts
248 → 144
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.9b
(*.f64 c (*.f64 a a))
6.2b
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
6.2b
(*.f64 (/.f64 c b_2) a)
26.0b
(/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))
Compiler

Compiled 141 to 50 computations (64.5% saved)

series21.0ms (0.1%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
2.0ms
b_2
@inf
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
2.0ms
b_2
@0
(/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))
1.0ms
c
@0
(/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))
1.0ms
a
@0
(/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))
1.0ms
b_2
@0
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)

rewrite90.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
375×expm1-udef_binary64
375×log1p-udef_binary64
316×fma-neg_binary64
225×add-sqr-sqrt_binary64
220×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02170
148256
2676656
Stop Event
node limit
Counts
4 → 116
Calls
Call 1
Inputs
(/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))
(*.f64 (/.f64 c b_2) a)
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(*.f64 c (*.f64 a a))
Outputs
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(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c c) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a a))) 1))))))

simplify225.0ms (1.3%)

Algorithm
egg-herbie
Rules
762×associate-/l*_binary64
563×sqr-pow_binary64
468×unswap-sqr_binary64
454×associate-/r*_binary64
301×associate-*l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0221725
1551725
21681725
37441725
448051698
558081644
659731644
762331644
864111644
965901644
1068011644
1170411644
1273231644
1376471644
Stop Event
node limit
Counts
248 → 126
Calls
Call 1
Inputs
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (pow.f64 a 2))
Outputs
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (*.f64 (*.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c a) (*.f64 c a)))
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(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2)) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a -1/8))))
(*.f64 (/.f64 c b_2) (+.f64 (*.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2)) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)))
(*.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a -1/8)))
(*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) a) (*.f64 c -1/8))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a -1/8))))
(*.f64 (/.f64 c b_2) (+.f64 (*.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2)) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a -1/8))))
(*.f64 (/.f64 c b_2) (+.f64 (*.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2)) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a -1/8))))
(*.f64 (/.f64 c b_2) (+.f64 (*.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2)) -1/2))
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))
(*.f64 c (pow.f64 a 2))
(*.f64 c (*.f64 a a))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))
6.1b
(/.f64 (/.f64 b_2 c) a)
7.5b
(/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)))
16.0b
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))
Compiler

Compiled 69 to 31 computations (55.1% saved)

series69.0ms (0.4%)

Counts
4 → 120
Calls

36 calls:

TimeVariablePointExpression
52.0ms
a
@0
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))
2.0ms
c
@inf
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))
1.0ms
b_2
@-inf
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))
1.0ms
c
@-inf
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))
1.0ms
b_2
@0
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
647×log-prod_binary64
386×pow-prod-down_binary64
295×pow2_binary64
260×log-div_binary64
255×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
122745
2333845
Stop Event
node limit
Counts
4 → 174
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))
(/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)))
(/.f64 (/.f64 b_2 c) a)
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 b_2 (*.f64 -1/2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -2))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -1/6) (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a -2)) (cbrt.f64 (/.f64 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 -1/2 b_2) c))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a (*.f64 (/.f64 -1/2 b_2) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (*.f64 1/2 (*.f64 (/.f64 a b_2) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 a)) (neg.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 -1/2 b_2) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -1/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 -1/2 b_2) c))) (cbrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (-.f64 (log.f64 (*.f64 (/.f64 -1/2 b_2) c)) 0)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 b_2) c) 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 b_2 (*.f64 -1/2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (*.f64 a c)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a 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simplify254.0ms (1.4%)

Algorithm
egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
469×fabs-mul_binary64
458×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019996
144996
2105996
3239996
4414996
5706996
61580996
72271996
82361996
92497996
102658996
112900996
123225996
133651996
144156996
154758996
165485996
175806996
186090996
196312996
206488996
216568996
227511996
Stop Event
node limit
Counts
294 → 182
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(/.f64 b_2 (*.f64 c a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(*.f64 -2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 c))
(/.f64 b_2 (*.f64 c -1/2))
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 (/.f64 b_2 c) a)
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)
(*.f64 a (*.f64 c (/.f64 -1/2 b_2)))
(*.f64 c (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 (/.f64 c b_2) (*.f64 a -1/2))
(/.f64 (/.f64 c b_2) (/.f64 -2 a))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
0.2b
(-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
3.7b
(pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3)
9.8b
(sqrt.f64 (*.f64 a c))
Compiler

Compiled 65 to 16 computations (75.4% saved)

series239.0ms (1.4%)

Counts
2 → 8
Calls

18 calls:

TimeVariablePointExpression
84.0ms
a
@-inf
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
56.0ms
a
@inf
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
36.0ms
a
@0
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
16.0ms
a
@inf
(pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3)
13.0ms
a
@-inf
(pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3)

rewrite252.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
702×prod-diff_binary64
634×log-prod_binary64
263×fma-def_binary64
230×pow1/3_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
129732
2358932
Stop Event
node limit
Counts
2 → 214
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (sqrt.f64 (/.f64 b_2 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a a))) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 a) -1) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1) (/.f64 (cbrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) 1) (/.f64 (sqrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (*.f64 a a))) (/.f64 (cbrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a)))))))

simplify98.0ms (0.6%)

Algorithm
egg-herbie
Rules
669×fma-def_binary64
491×*-commutative_binary64
334×distribute-lft-in_binary64
334×distribute-rgt-in_binary64
326×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01591605
14811553
217881536
368741533
Stop Event
node limit
Counts
222 → 230
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 b_2 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 b_2 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (pow.f64 b_2 3)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1)))))
(*.f64 -1 (sqrt.f64 (/.f64 c a)))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))))) (pow.f64 b_2 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2)))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 c 2) (pow.f64 a 16))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/6) (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))))) (pow.f64 b_2 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) b_2))))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1)))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 8)) c) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 8)) c) 1/18)))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) b_2))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) c) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 7) (*.f64 c (pow.f64 a 35))) 1/18) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 b_2 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 c (pow.f64 a 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) a) 1/6) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 a c)) (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 b_2 b_2)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 a c)) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 -1/3 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 b_2 b_2)))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 8)) c) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 8)) c) 1/18))))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1) (*.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 a c)) (*.f64 (*.f64 b_2 b_2) (/.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) b_2)))))
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(-.f64 (fma.f64 (pow.f64 b_2 3) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 -2/3 (/.f64 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/18)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))))))) (fma.f64 1/3 (*.f64 (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 1/6) (cbrt.f64 -1)) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))) (fma.f64 -1/3 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18) 2/9)))))) (*.f64 b_2 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18) (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 b_2 (fma.f64 (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 1/6) (cbrt.f64 -1)) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (fma.f64 1/3 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9)))))))) (sqrt.f64 (/.f64 c a)))
(fma.f64 b_2 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18) (pow.f64 (*.f64 (/.f64 c (pow.f64 a 11)) c) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1)))) (*.f64 b_2 (fma.f64 (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 1/6) (cbrt.f64 -1)) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (fma.f64 1/3 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9)))))) (fma.f64 (pow.f64 b_2 3) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 (/.f64 a c) 1/6) (*.f64 -2/3 (/.f64 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 8)) (*.f64 (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 5))) 1/18)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))))))) (fma.f64 1/3 (*.f64 (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 1/6) (cbrt.f64 -1)) (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (*.f64 c (pow.f64 a 16)))) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 8))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))) (fma.f64 -1/3 (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 8)))) (pow.f64 (cbrt.f64 -1) 8)) (*.f64 (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (pow.f64 (/.f64 1 (*.f64 c (pow.f64 a 35))) 1/18) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18) 2/9)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))))

eval466.0ms (2.7%)

Compiler

Compiled 24986 to 10072 computations (59.7% saved)

prune268.0ms (1.5%)

Pruning

40 alts after pruning (33 fresh and 7 done)

PrunedKeptTotal
New81214826
Fresh51924
Picked101
Done3710
Total82140861
Error
0.7b
Counts
861 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
49.2b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
36.7b
(*.f64 -1/2 (/.f64 c b_2))
37.7b
(pow.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))) 3)
49.6b
(/.f64 (*.f64 (*.f64 c a) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
46.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
62.4b
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
53.4b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
47.7b
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))) 3)
47.7b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
46.4b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
37.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.1b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
42.5b
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 3)) 3)
59.0b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
60.4b
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
50.4b
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 a (/.f64 c b_2))))) a)
42.2b
(/.f64 (*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) a)
63.2b
(pow.f64 (pow.f64 (/.f64 (*.f64 2 b_2) a) 1/3) 3)
42.2b
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c)) a)
56.0b
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
37.0b
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
47.6b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
40.6b
(*.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))
48.3b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1/3))
50.4b
(/.f64 (+.f64 (/.f64 -1/8 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
55.9b
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
55.5b
(/.f64 0 a)
53.7b
(/.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
46.9b
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)) 3)
55.4b
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
55.5b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
37.3b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 b_2 (*.f64 c -1/2)))) 3)
44.1b
(/.f64 (*.f64 b_2 -2) a)
37.1b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
62.4b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 2 b_2)))) 3)
46.5b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
62.4b
(/.f64 (*.f64 2 b_2) a)
37.3b
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
59.2b
(/.f64 (neg.f64 b_2) a)
60.1b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
Compiler

Compiled 623 to 456 computations (26.8% saved)

regimes2.9s (16.3%)

Counts
66 → 5
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) a)
(*.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(/.f64 (+.f64 (/.f64 -1/8 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 b_2) a) 1/3) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 b_2 (*.f64 c -1/2)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 2 b_2)))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
(/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 a (/.f64 c b_2))))) a)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1/3))
(*.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a))
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) a)
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(/.f64 (*.f64 (*.f64 c a) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
(pow.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))) 3)
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 3)) 3)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 c b_2) (*.f64 a -1/2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)) 3)
(/.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 -2) a)
Calls

4 calls:

1.0s
a
983.0ms
c
484.0ms
b_2
333.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
ErrorSegmentsBranch
24.5b12a
7.4b5b_2
26.0b11c
13.1b5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 906 to 436 computations (51.9% saved)

bsearch406.0ms (2.3%)

Algorithm
binary-search
Steps
TimeLeftRight
123.0ms
9.81281980849348e+59
1.8188775552009304e+62
31.0ms
-2.667190118349455e-274
-1.6284781187449014e-280
54.0ms
-1.546007586310696e-215
-2.3350383547976982e-239
197.0ms
-5.951935715050363e-91
-1.9942732803528066e-105
Compiler

Compiled 1284 to 941 computations (26.7% saved)

regimes1.8s (10.3%)

Counts
59 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) a)
(*.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(/.f64 (+.f64 (/.f64 -1/8 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2))
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 b_2 (*.f64 c (*.f64 c (*.f64 a a)))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 b_2) a) 1/3) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 b_2 (*.f64 c -1/2)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 2 b_2)))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
(/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 a (/.f64 c b_2))))) a)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1/3))
(*.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a))
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a))))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) a)
(fma.f64 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(/.f64 (*.f64 (*.f64 c a) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
(pow.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 b_2 c)) (cbrt.f64 -2))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 1 b_2) c) 1/3) (cbrt.f64 -2))) 3)
(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1/3) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (*.f64 (/.f64 a b_2) c)))) 3)) 3)
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 -2) a)
Calls

4 calls:

866.0ms
a
519.0ms
c
239.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
151.0ms
b_2
Results
ErrorSegmentsBranch
24.3b13a
8.5b3b_2
26.4b11c
13.1b5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 754 to 360 computations (52.3% saved)

bsearch214.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
115.0ms
9.81281980849348e+59
1.8188775552009304e+62
98.0ms
-5.951935715050363e-91
-1.9942732803528066e-105
Compiler

Compiled 464 to 321 computations (30.8% saved)

regimes157.0ms (0.9%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) a)
(*.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(/.f64 (+.f64 (/.f64 -1/8 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) c) -1/2 (*.f64 2 b_2)) a)
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (*.f64 b_2 -2) a)
Calls

3 calls:

73.0ms
a
51.0ms
c
27.0ms
b_2
Results
ErrorSegmentsBranch
31.2b9a
9.4b3b_2
32.8b6c
Compiler

Compiled 194 to 102 computations (47.4% saved)

bsearch212.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
127.0ms
5.557445047320821e-96
3.0704990517607226e-87
84.0ms
-5.951935715050363e-91
-1.9942732803528066e-105
Compiler

Compiled 459 to 338 computations (26.4% saved)

regimes453.0ms (2.6%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) a)
(*.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))
(/.f64 (*.f64 (/.f64 (*.f64 c 1/2) b_2) a) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 a) b_2) (/.f64 1 c)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(/.f64 (+.f64 (/.f64 -1/8 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))))) (+.f64 0 (*.f64 (*.f64 (/.f64 c b_2) a) -1/2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
Calls

3 calls:

263.0ms
c
128.0ms
b_2
53.0ms
a
Results
ErrorSegmentsBranch
33.8b5a
18.4b2b_2
34.0b5c
Compiler

Compiled 172 to 92 computations (46.5% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
-1.0590433595041767e-306
9.365455808855685e-309
Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes22.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (neg.f64 b_2) a)
Calls

3 calls:

9.0ms
a
8.0ms
b_2
4.0ms
c
Results
ErrorSegmentsBranch
36.7b1a
33.4b2b_2
36.7b1c
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
-1.0590433595041767e-306
9.365455808855685e-309
Compiler

Compiled 141 to 106 computations (24.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -10.6b remaining (-20.1%)

Threshold costs -10.6b (-20.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (*.f64 2 b_2) a)
Outputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
Calls

3 calls:

7.0ms
b_2
4.0ms
a
4.0ms
c
Results
ErrorSegmentsBranch
55.5b1a
52.4b2b_2
55.5b1c
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-1.6157953141689953e-252
-1.1982238156029882e-253
Compiler

Compiled 112 to 87 computations (22.3% saved)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
23×+-commutative_binary64
20×*-commutative_binary64
19×sub-neg_binary64
15×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065256
193254
2124254
3159254
4177254
5186254
6189254
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (if (<=.f64 b_2 -2533781642964000/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 6733741293329135/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 (*.f64 b_2 -2) a)))
(if (<=.f64 b_2 -3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (*.f64 b_2 -2) a))
(if (<=.f64 b_2 -3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -845271249817064448/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)
Outputs
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (if (<=.f64 b_2 -2533781642964000/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (if (<=.f64 b_2 -79180676342625/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (neg.f64 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 -2) a)))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (if (<=.f64 b_2 -79180676342625/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 -2) a)))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 -2) a)))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 6733741293329135/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 (*.f64 b_2 -2) a)))
(if (<=.f64 b_2 -3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (*.f64 b_2 -2) a))
(if (<=.f64 b_2 -3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -845271249817064448/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -825460204899477/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)
Compiler

Compiled 191 to 122 computations (36.1% saved)

soundness71.0ms (0.4%)

Algorithm
egg-herbie
Rules
671×fma-def_binary64
606×times-frac_binary64
583×associate-*r*_binary64
563×fma-neg_binary64
550×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01512181
14702117
215702070
372322034
Stop Event
node limit
Compiler

Compiled 12 to 10 computations (16.7% saved)

end75.0ms (0.4%)

Compiler

Compiled 173 to 89 computations (48.6% saved)

Profiling

Loading profile data...