Details

Time bar (total: 15.0s)

analyze519.0ms (3.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
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)

sample1.8s (12.1%)

Results
660.0ms5521×body256valid
464.0ms1221×body2048valid
211.0ms708×body1024valid
199.0ms422×body4096valid
183.0ms1632×body256invalid
80.0ms384×body512valid

preprocess130.0ms (0.9%)

Algorithm
2×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
1×saturated
1×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)

simplify117.0ms (0.8%)

Algorithm
1×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
1×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)

eval0.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
34.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.5b
(/.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)

localize14.0ms (0.1%)

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)
✓1.6b
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
✓2.0b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓24.2b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 53 to 10 computations (81.1% saved)

series28.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
1.0ms
b_2
@0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.0ms
b_2
@-inf
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
1.0ms
a
@inf
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
1.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite119.0ms (0.8%)

Algorithm
1×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
1×node limit
Counts
4 → 381
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.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 (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 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a (neg.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (*.f64 a (neg.f64 c)) 1 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (neg.f64 c)) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (-.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))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (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 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (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 1 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4)) (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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)))))))

simplify122.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01512181
14702117
215702070
372412034
Stop Event
1×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 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 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 (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)))
(+.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 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) (*.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 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) (*.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 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 1/2 (*.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) (*.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 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 1/2 (*.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) (*.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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))) 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)))
(+.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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))) 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 (*.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))))
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 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))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.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))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.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))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.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))
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(*.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 b_2 (/.f64 (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 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) 1/8)))
(fma.f64 (/.f64 b_2 (/.f64 (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))))
(fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.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))) (neg.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -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 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 1/2 (/.f64 b_2 c)))))
(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 (*.f64 -1/8 (*.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 c b_2) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -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 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 1/2 (/.f64 b_2 c)))))
(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 (*.f64 b_2 -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 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 1/2 (/.f64 b_2 c)))))
(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))))))

eval141.0ms (0.9%)

Compiler

Compiled 11079 to 3314 computations (70.1% saved)

prune369.0ms (2.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New43323456
Fresh000
Picked011
Done000
Total43324457
Error
5.0b
Counts
457 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.5b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
48.4b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
▶34.5b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
44.4b
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
35.3b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
48.5b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
44.1b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) a)
37.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
39.9b
(*.f64 -1/2 (/.f64 c b_2))
41.5b
(/.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
46.8b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
48.0b
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) b_2) a)
36.0b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3))) a)
40.1b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
▶42.3b
(*.f64 -2 (/.f64 b_2 a))
45.5b
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
55.8b
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
▶34.0b
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
▶44.4b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) a)
38.6b
(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)))
▶42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
43.7b
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
48.4b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
48.3b
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
Compiler

Compiled 776 to 514 computations (33.8% saved)

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓0.1b
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓0.8b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓12.2b
(sqrt.f64 (*.f64 a (neg.f64 c)))
Compiler

Compiled 54 to 15 computations (72.2% saved)

series70.0ms (0.5%)

Counts
4 → 42
Calls

33 calls:

TimeVariablePointExpression
21.0ms
b_2
@-inf
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms
c
@inf
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
5.0ms
c
@inf
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
4.0ms
a
@inf
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
3.0ms
a
@-inf
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite78.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
644×prod-diff_binary64
575×log-prod_binary64
290×pow2_binary64
230×fma-def_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
127642
2379242
Stop Event
1×node limit
Counts
4 → 155
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
Outputs
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b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2)))) (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) -1)))) (#(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 cbrt.f64 (*.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a) (*.f64 b_2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) b_2 (*.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (*.f64 (/.f64 1 a) b_2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1))))))

simplify67.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
937×times-frac_binary64
672×associate-/l*_binary64
629×fma-def_binary64
495×associate-/r*_binary64
315×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601621
14881319
218671225
372791225
Stop Event
1×node limit
Counts
197 → 223
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.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 b_2 (+.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 2 b_2)
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (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))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 2 b_2)
(*.f64 2 b_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 (*.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 -2 (/.f64 b_2 a))
(*.f64 -2 (/.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 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
b_2
b_2
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (*.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 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) b_2))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 1/2 (*.f64 b_2 b_2)) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.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 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (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))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) b_2)))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 2 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(fma.f64 b_2 2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))
(fma.f64 b_2 2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(fma.f64 b_2 2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))
(fma.f64 b_2 2 (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (fma.f64 b_2 2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))))
(fma.f64 b_2 2 (fma.f64 1/16 (*.f64 (neg.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))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))
(fma.f64 b_2 2 (fma.f64 1/16 (*.f64 (pow.f64 (neg.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))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2)
(/.f64 (*.f64 (*.f64 1/2 c) a) b_2)
(/.f64 (*.f64 c 1/2) (/.f64 b_2 a))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) 1/8 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2)))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) 1/8 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a))))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (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))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (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))))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -1/8 (*.f64 c (*.f64 c (*.f64 a (*.f64 a 1))))) 2)) (pow.f64 b_2 7)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))))
(fma.f64 1/2 (/.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 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))))
(fma.f64 1/2 (/.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 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.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 1 (*.f64 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 (*.f64 b_2 b_2) (sqrt.f64 -1)) (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 -1/2 (*.f64 b_2 b_2)) (sqrt.f64 -1))) (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 1 (*.f64 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))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (+.f64 (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 1 (*.f64 (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 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 -1/2 (*.f64 b_2 b_2)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (neg.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 b_2 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 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 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 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))))
(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 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a 1)) c)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 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))))))
(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 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a 1)) c)) (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 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (fma.f64 -1/16 (*.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 1/2) b_2))))
(*.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 1/2 (/.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 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a 1)) c)) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
(+.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 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)))))
(+.f64 (/.f64 (*.f64 -1/2 c) b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a 1)) c)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (fma.f64 1/16 (*.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c))))
(+.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 -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))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a 1)) c)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -1/8 (*.f64 c (*.f64 c (*.f64 a (*.f64 a 1))))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (fma.f64 1/16 (*.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 b_2 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 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 1/2 (*.f64 b_2 b_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))))))
(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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.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))))))
(+.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 a 5) (pow.f64 c 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 a 5) (pow.f64 c 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.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)))))))
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))
(+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))
(+.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (+.f64 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))))
(+.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 1/16 (*.f64 (neg.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))) b_2)))
(+.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 1/16 (*.f64 (pow.f64 (neg.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))) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))
(-.f64 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2) b_2)
(-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) 1/8 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)) b_2)
(fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2))
(-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 a 1)))) 1/8 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))) b_2)
(fma.f64 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)))
(fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2)))
b_2
b_2

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (/.f64 b_2 a))
Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b_2
@0
(*.f64 -2 (/.f64 b_2 a))
1.0ms
b_2
@inf
(*.f64 -2 (/.f64 b_2 a))
1.0ms
a
@0
(*.f64 -2 (/.f64 b_2 a))
1.0ms
a
@inf
(*.f64 -2 (/.f64 b_2 a))
0.0ms
b_2
@-inf
(*.f64 -2 (/.f64 b_2 a))

rewrite123.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 b_2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 16 computations (54.3% saved)

series8.0ms (0.1%)

Counts
2 → 9
Calls

15 calls:

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

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
626×log-prod_binary64
372×pow-prod-down_binary64
328×fma-def_binary64
325×pow2_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
124621
2342221
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 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(/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) (neg.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 b_2) b_2 (*.f64 a (*.f64 1/2 c))) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 c) a (*.f64 b_2 (*.f64 -2 b_2))) (*.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))) (sqrt.f64 (exp.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))) (pow.f64 (exp.f64 -2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))) (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))) (+.f64 1 (expm1.f64 (/.f64 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1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b_2) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b_2) 1/2 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b_2)) 1 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2)) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 b_2) (/.f64 1 a) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2))) (cbrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2))) (cbrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))))

simplify22.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
4×associate-/l*_binary64
2×associate-*r/_binary64
2×associate-*l/_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
11663
22463
33263
43463
Stop Event
1×saturated
Counts
106 → 100
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
Outputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
✓1.6b
(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))
2.0b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓34.4b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))
Compiler

Compiled 69 to 22 computations (68.1% saved)

series31.0ms (0.2%)

Counts
3 → 76
Calls

27 calls:

TimeVariablePointExpression
12.0ms
b_2
@inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
2.0ms
b_2
@0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
2.0ms
c
@inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
2.0ms
a
@inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
2.0ms
a
@-inf
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)

rewrite88.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
614×fma-def_binary64
586×log-prod_binary64
321×pow2_binary64
288×fma-neg_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01248
127840
2388738
Stop Event
1×node limit
Counts
3 → 167
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))
(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)
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 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (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 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.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 1/3) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(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 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(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 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(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 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 (*.f64 3/2 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1/3))))) (#(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 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(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)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))))))) (#(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)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 1 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) 3/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 3/2) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (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 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))))))

simplify108.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
922×associate-*l/_binary64
377×fma-def_binary64
352×distribute-rgt-in_binary64
345×distribute-lft-in_binary64
327×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03143320
110502990
243012709
Stop Event
1×node limit
Counts
243 → 276
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 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (*.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (*.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2))))
(+.f64 (*.f64 -3/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (*.f64 -3/2 (*.f64 c (*.f64 a b_2))))))
(+.f64 (*.f64 -3/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (*.f64 -3/2 (*.f64 c (*.f64 a b_2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (*.f64 -1 (pow.f64 b_2 3)) (*.f64 3/2 (*.f64 c (*.f64 a b_2))))
(+.f64 (*.f64 -1 (pow.f64 b_2 3)) (+.f64 (*.f64 3/2 (*.f64 c (*.f64 a b_2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (*.f64 -1 (pow.f64 b_2 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/16 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 9/8 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (*.f64 3/2 (*.f64 c (*.f64 a b_2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (*.f64 -3/2 (*.f64 c (*.f64 a b_2))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a)))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 (pow.f64 b_2 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (pow.f64 b_2 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (pow.f64 b_2 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (*.f64 -3/2 (*.f64 c (*.f64 a b_2))) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (+.f64 (*.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (*.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -3/2 (*.f64 c (*.f64 a b_2))) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 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 (sqrt.f64 (*.f64 c a)) (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) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))))
(+.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 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.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)))))))
(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 (pow.f64 b_2 4) (neg.f64 (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)))))))
(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 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.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))))))))
(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 1/2 (*.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 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))))))))
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 (/.f64 c b_2) 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))))
(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 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) 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)))))
(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 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.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 1/8 (/.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 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))) b_2)
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a 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)))))
(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 a 3)) (pow.f64 b_2 5)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))) b_2))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))) 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 (/.f64 c b_2) 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))))
(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 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) 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)))))
(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 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) 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 (/.f64 c b_2) 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))))
(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 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) 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)))))
(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 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) 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)
(+.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 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (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))))))
(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))) (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))) (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 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) 1/8)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) b_2)
(-.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) 1/8))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -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))))
(fma.f64 -2 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 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.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)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 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 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (*.f64 (/.f64 c b_2) a))
(+.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 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.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))))
(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 -1/2 (/.f64 c (/.f64 b_2 a)))))
(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) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(+.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)))))
(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)) (pow.f64 b_2 7)) (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 -1/2 (/.f64 c (/.f64 b_2 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)) (pow.f64 b_2 7)) (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) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -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))))
(fma.f64 -2 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 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.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)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 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 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -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))))
(fma.f64 -2 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 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.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)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 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 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (*.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1) (*.f64 (*.f64 -3/2 (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (*.f64 b_2 b_2))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)) -3/2)))
(*.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) -3/2) (*.f64 b_2 b_2))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (*.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (*.f64 (*.f64 -3/2 (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -3/2 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -1) (*.f64 b_2 b_2))) (*.f64 3/8 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) -3/2) (*.f64 b_2 b_2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 3/8) (pow.f64 b_2 4)))))
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(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b_2 b_2) a)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) 3/8) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 c c)))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 b_2 (/.f64 a b_2))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (*.f64 3/8 (/.f64 (pow.f64 b_2 4) (*.f64 a a))) c)))
(+.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) (*.f64 (/.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (*.f64 (pow.f64 b_2 4) 3/8) (*.f64 c (*.f64 a a))) (*.f64 (*.f64 (/.f64 b_2 a) b_2) -3/2))))
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (*.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b_2 b_2) a)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (fma.f64 -1 (/.f64 (fma.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 17/16)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) 3/8) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 c c))))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 b_2 (/.f64 a b_2))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (*.f64 3/8 (/.f64 (pow.f64 b_2 4) (*.f64 a a))) c)) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -1/16) (pow.f64 c 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))))
(+.f64 (fma.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (pow.f64 c 3)) (*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (*.f64 (pow.f64 b_2 4) 3/8) (*.f64 c (*.f64 a a))) (*.f64 (*.f64 (/.f64 b_2 a) b_2) -3/2))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.6b
(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
✓2.0b
(+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
✓24.2b
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓52.1b
(fma.f64 a (neg.f64 c) (*.f64 a c))
Compiler

Compiled 105 to 13 computations (87.6% saved)

series41.0ms (0.3%)

Counts
4 → 100
Calls

33 calls:

TimeVariablePointExpression
20.0ms
b_2
@0
(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
1.0ms
a
@inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
1.0ms
c
@-inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
1.0ms
a
@-inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
1.0ms
b_2
@0
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

rewrite103.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
623×fma-def_binary64
600×log-prod_binary64
325×pow2_binary64
324×fma-neg_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
128557
2411557
Stop Event
1×node limit
Counts
4 → 253
Calls
Call 1
Inputs
(fma.f64 a (neg.f64 c) (*.f64 a c))
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2) (cbrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) (sqrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 c c))) 1))))))
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simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
790×fma-def_binary64
718×distribute-rgt-in_binary64
673×distribute-lft-in_binary64
610×associate-/l*_binary64
486×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01761805
15681460
220041426
Stop Event
1×node limit
Counts
353 → 330
Calls
Call 1
Inputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 (+.f64 c (*.f64 -2 c)) a)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 (+.f64 a (*.f64 -2 a)) c)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a))))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(*.f64 -1 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))
(+.f64 (*.f64 -1 b_2) (*.f64 -1 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))) (*.f64 -1 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))) (*.f64 -1 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3)))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 4)) (pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
Outputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))
(fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c)))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8)))
(fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 5)))) (+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) (fma.f64 (*.f64 1/16 (pow.f64 b_2 6)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (neg.f64 b_2))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2)
(-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (neg.f64 b_2)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2)
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1 b_2 (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16))
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) -1/16 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))))) b_2)
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))
(*.f64 -1 (*.f64 a c))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(*.f64 b_2 b_2)
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(*.f64 -1 (*.f64 a c))
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(*.f64 b_2 b_2)
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a))))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 -1 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))
(neg.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))))
(neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c))))
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(*.f64 -1 (+.f64 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
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(-.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 b_2 4) 1/8) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a c))) -1/2))) (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
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(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))
(fma.f64 -2 b_2 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))))
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(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
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(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
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(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
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(*.f64 -2 b_2)
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(fma.f64 -2 b_2 (*.f64 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) -1/2))
(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))
(fma.f64 -2 b_2 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))))
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(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)))
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 -2 b_2 (/.f64 1/2 (/.f64 b_2 (*.f64 a c)))))
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(*.f64 -2 b_2)
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(fma.f64 -2 b_2 (*.f64 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) -1/2))
(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))
(fma.f64 -2 b_2 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))))
(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) 1/8)))
(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)))
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 -2 b_2 (/.f64 1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16)))
(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) -1/16 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))))))

eval582.0ms (3.9%)

Compiler

Compiled 29518 to 13535 computations (54.1% saved)

prune274.0ms (1.8%)

Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New1128281156
Fresh9918
Picked101
Done235
Total1140401180
Error
4.9b
Counts
1180 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
61.5b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (*.f64 (*.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3))
✓34.5b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
48.4b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
42.5b
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
40.1b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
61.5b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (*.f64 -1 (pow.f64 b_2 3)) (*.f64 3/2 (*.f64 c (*.f64 a b_2)))))) a)
55.8b
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
▶46.8b
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
48.5b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
40.2b
(/.f64 -1/2 (/.f64 b_2 c))
42.7b
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
▶39.9b
(*.f64 -1/2 (/.f64 c b_2))
41.5b
(/.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
46.8b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
46.2b
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
48.7b
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
45.6b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
42.3b
(*.f64 b_2 (/.f64 -2 a))
42.6b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
▶44.1b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
48.7b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
51.4b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
56.0b
(*.f64 1/2 (/.f64 c b_2))
▶45.8b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
54.5b
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
55.3b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2)))))) a)
✓42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
46.7b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))
✓42.3b
(*.f64 -2 (/.f64 b_2 a))
45.5b
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
45.4b
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
42.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (*.f64 1/2 (/.f64 c b_2)))
46.7b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))))))
42.6b
(/.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2)) a)
48.3b
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
▶35.3b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
42.4b
(/.f64 -2 (/.f64 a b_2))
48.4b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
Compiler

Compiled 1228 to 838 computations (31.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
2.0b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓12.3b
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
✓24.9b
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
Compiler

Compiled 73 to 26 computations (64.4% saved)

series52.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
15.0ms
b_2
@0
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
5.0ms
c
@0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
2.0ms
a
@-inf
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
2.0ms
a
@inf
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))
2.0ms
c
@-inf
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2))

rewrite90.0ms (0.6%)

Algorithm
1×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
1×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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simplify126.0ms (0.8%)

Algorithm
1×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
1×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)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (/.f64 c b_2))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
c
@0
(*.f64 -1/2 (/.f64 c b_2))
0.0ms
b_2
@0
(*.f64 -1/2 (/.f64 c b_2))
0.0ms
b_2
@-inf
(*.f64 -1/2 (/.f64 c b_2))
0.0ms
c
@-inf
(*.f64 -1/2 (/.f64 c b_2))
0.0ms
c
@inf
(*.f64 -1/2 (/.f64 c b_2))

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
✓0.3b
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
✓3.1b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
✓5.9b
(/.f64 b_2 (*.f64 a c))
Compiler

Compiled 59 to 21 computations (64.4% saved)

series32.0ms (0.2%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
13.0ms
c
@0
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
2.0ms
b_2
@inf
(/.f64 b_2 (*.f64 a c))
1.0ms
b_2
@0
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
1.0ms
b_2
@inf
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
1.0ms
a
@inf
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)

rewrite102.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
740×log-prod_binary64
530×fma-def_binary64
299×fma-neg_binary64
271×log-div_binary64
240×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
129048
2496748
Stop Event
1×node limit
Counts
4 → 316
Calls
Call 1
Inputs
(/.f64 b_2 (*.f64 a c))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
(-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
Outputs
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simplify56.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
29×*-commutative_binary64
28×associate-/l*_binary64
24×fma-def_binary64
19×associate-/r/_binary64
17×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191497
1391497
2731497
31201497
41721497
52031497
62041497
Stop Event
1×saturated
Counts
460 → 331
Calls
Call 1
Inputs
(/.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 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c 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))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.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 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.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 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.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 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.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 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
Outputs
(/.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 c b_2))
(*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 b_2 (/.f64 -2 a) (*.f64 c (/.f64 1/2 b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
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(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 c (*.f64 (/.f64 1/2 b_2) a))
(*.f64 c (*.f64 a (/.f64 1/2 b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 c (*.f64 (/.f64 1/2 b_2) a))
(*.f64 c (*.f64 a (/.f64 1/2 b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 c (*.f64 (/.f64 1/2 b_2) a))
(*.f64 c (*.f64 a (/.f64 1/2 b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 c (*.f64 (/.f64 1/2 b_2) a))
(*.f64 c (*.f64 a (/.f64 1/2 b_2)))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))
(fma.f64 a (*.f64 c (/.f64 1/2 b_2)) (*.f64 b_2 -2))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (/.f64 b_2 a))
✓0.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
✓0.5b
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
✓2.9b
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
Compiler

Compiled 50 to 25 computations (50% saved)

series8.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
c
@0
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms
b_2
@0
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms
b_2
@-inf
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms
c
@-inf
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms
c
@inf
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))

rewrite70.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
664×log-prod_binary64
365×fma-def_binary64
345×pow2_binary64
240×pow1/3_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
126730
2363430
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1))) (log.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (log.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (/.f64 1/2 (/.f64 b_2 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) (log.f64 (-.f64 1 (/.f64 1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) 2) (cbrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) (sqrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 1/2 (/.f64 c b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))) 1))))))
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-2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (*.f64 (/.f64 1 a) -2) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b_2) 1/2 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (/.f64 b_2 c)) 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 b_2 a)) 1 (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 (/.f64 b_2 c)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (/.f64 c b_2) 1) (neg.f64 (-.f64 1 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) 2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) 2) (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 (/.f64 b_2 c))) (sqrt.f64 (/.f64 1/2 (/.f64 b_2 c))) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) 1/2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b_2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b_2 -2) (/.f64 1 a) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1)) (neg.f64 (-.f64 1 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1)) (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) 1)) (neg.f64 (-.f64 1 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (cbrt.f64 (*.f64 b_2 b_2))) (/.f64 c (cbrt.f64 b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2)) (cbrt.f64 (/.f64 c b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))))

simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
746×associate-/r*_binary64
643×associate-*l/_binary64
492×associate-*r/_binary64
445×associate-/r/_binary64
404×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861293
12471257
27401226
329301169
Stop Event
1×node limit
Counts
228 → 175
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 c b_2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1/2 b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1/2 b_2))))
(+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))) (log.f64 (/.f64 1/2 b_2)))))
(+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))) (log.f64 (/.f64 1/2 b_2))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b_2)))) (*.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b_2)))) (+.f64 (*.f64 2 (/.f64 b_2 c)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b_2)))) (+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b_2)))) (+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2)))))))
(+.f64 (log.f64 (*.f64 1/2 c)) (*.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 (*.f64 1/2 c)) (+.f64 (*.f64 2 (/.f64 b_2 c)) (*.f64 -1 (log.f64 b_2))))
(+.f64 (log.f64 (*.f64 1/2 c)) (+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 b_2)) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))))))
(+.f64 (log.f64 (*.f64 1/2 c)) (+.f64 (*.f64 2 (/.f64 b_2 c)) (+.f64 (*.f64 -1 (log.f64 b_2)) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2)))))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (*.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 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.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 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
Outputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2))))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 c b_2) (*.f64 (/.f64 c b_2) -1/8)))
(*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2)))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2)) (*.f64 1/24 (pow.f64 (/.f64 c b_2) 3))))
(fma.f64 1/24 (pow.f64 (/.f64 c b_2) 3) (*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (fma.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4)) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2)) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))))))
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2)) (fma.f64 1/24 (pow.f64 (/.f64 c b_2) 3) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/64 (pow.f64 c 4)) (pow.f64 b_2 4)))))
(fma.f64 1/24 (pow.f64 (/.f64 c b_2) 3) (fma.f64 -1/64 (pow.f64 (/.f64 c b_2) 4) (*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1/2 b_2)))
(fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (/.f64 1/2 b_2)))
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(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_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 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.0b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓5.7b
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
12.2b
(sqrt.f64 (*.f64 a (neg.f64 c)))
✓21.7b
(-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 115 to 15 computations (87% saved)

series40.0ms (0.3%)

Counts
2 → 48
Calls

18 calls:

TimeVariablePointExpression
9.0ms
c
@-inf
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
9.0ms
c
@inf
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
6.0ms
a
@inf
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
4.0ms
a
@-inf
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
3.0ms
c
@0
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))

rewrite79.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
692×log-prod_binary64
400×fma-neg_binary64
234×expm1-udef_binary64
234×log1p-udef_binary64
192×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01550
136116
2571216
Stop Event
1×node limit
Counts
2 → 199
Calls
Call 1
Inputs
(-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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) (+.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 (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) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (cbrt.f64 (pow.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 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 b_2 b_2)) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 b_2 b_2)) (*.f64 -1 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b_2 b_2) -1) (*.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (*.f64 a c)))))) (#(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 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 (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 1 (*.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 (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 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) c))))) (#(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 c) (*.f64 (sqrt.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a 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 (-.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 -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 (-.f64 (pow.f64 b_2 4) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 2)) (/.f64 1 (fma.f64 b_2 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (cbrt.f64 (+.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) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a c)) 1) (/.f64 (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 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2)) (/.f64 (*.f64 a c) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2)) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) 1) (/.f64 (cbrt.f64 (*.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2)) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2)) (/.f64 (*.f64 a c) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a c) (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3/2))) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b_2) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (*.f64 (exp.f64 b_2) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b_2)) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b_2) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b_2)) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule 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 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 1 b_2 (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) (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) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
812×times-frac_binary64
715×unswap-sqr_binary64
627×fma-def_binary64
570×associate-/l*_binary64
449×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0116906
1368743
21622639
37676632
Stop Event
1×node limit
Counts
247 → 223
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 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.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 (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 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.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 (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 (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 (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 b_2 (pow.f64 (sqrt.f64 -1) 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 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 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.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 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 (*.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 (*.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 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 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.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 1/8 (/.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 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.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 (*.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))))))
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 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (/.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 (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 (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 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1 (sqrt.f64 -1))) 1/2) (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1)))
(fma.f64 (*.f64 b_2 b_2) (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.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 (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 (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 (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 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (sqrt.f64 -1)))) (pow.f64 b_2 3)) (fma.f64 (*.f64 b_2 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1 (sqrt.f64 -1))) 1/2) (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1))) (*.f64 (-.f64 (/.f64 1/2 (*.f64 a (*.f64 c 1))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1 (sqrt.f64 -1))) 1/2)))) (pow.f64 b_2 3)))
(+.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (/.f64 b_2 -1)) (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (neg.f64 (/.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 b_2 (*.f64 b_2 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))) (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 1/2) (/.f64 -1/2 (*.f64 c a))) (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 -1))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 2 (/.f64 b_2 -1))
(*.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 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 (/.f64 b_2 -1) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2))
(+.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 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.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))))))
(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)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) 1/8) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 -1) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 (*.f64 a a))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (*.f64 -1 (*.f64 (*.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 3) 1/8)))))
(+.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) (*.f64 (*.f64 (/.f64 (*.f64 a (neg.f64 a)) (pow.f64 b_2 3)) (*.f64 c c)) -1/8))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.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 (*.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 (*.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 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3)))))))))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.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 (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 -1/4 (/.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 c (/.f64 b_2 a)) (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)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) 1/8) (pow.f64 b_2 3))))))))
(fma.f64 2 (/.f64 b_2 -1) (fma.f64 2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -1/8 (*.f64 1 (*.f64 (*.f64 a a) (*.f64 c c)))) 2)) (*.f64 c (*.f64 a (*.f64 1 (pow.f64 b_2 5))))) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 (*.f64 a a))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 (*.f64 (*.f64 c (*.f64 c -1)) (*.f64 (*.f64 a a) -1/8)) -1)))) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 (*.f64 a a))) 1/8 (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (*.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))))))))))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 (*.f64 (/.f64 (*.f64 a (neg.f64 a)) (pow.f64 b_2 3)) (*.f64 c c)) -1/8)) (fma.f64 1/4 (*.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 c a) (*.f64 c a))) -1/8) (neg.f64 a)) (/.f64 c (pow.f64 b_2 5))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) -1/16)))) (fma.f64 2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 c (*.f64 a (pow.f64 b_2 5)))) (*.f64 -2 b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 c a) (*.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 -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 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (*.f64 -1 (*.f64 (*.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 3) 1/8)))
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (neg.f64 (*.f64 (*.f64 c a) (*.f64 c a)))))
(+.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 1/8 (/.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 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (*.f64 -1 (*.f64 (*.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 3) 1/8))))
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 (*.f64 (/.f64 (*.f64 a (neg.f64 a)) (pow.f64 b_2 3)) (*.f64 c c)) 1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) -1/16))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.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 (*.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 1/128 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 4)) (pow.f64 b_2 7)) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 4)) (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)))) (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 c (/.f64 b_2 a)))))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (*.f64 -1 (*.f64 (*.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 3) 1/8)))) (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 4))) 5/128))
(fma.f64 (*.f64 (neg.f64 (pow.f64 a 4)) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) 5/128 (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 (*.f64 (/.f64 (*.f64 a (neg.f64 a)) (pow.f64 b_2 3)) (*.f64 c c)) 1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) -1/16)))))

eval692.0ms (4.6%)

Compiler

Compiled 45457 to 19775 computations (56.5% saved)

prune578.0ms (3.9%)

Pruning

52 alts after pruning (47 fresh and 5 done)

PrunedKeptTotal
New1498281526
Fresh131932
Picked101
Done257
Total1514521566
Error
0.7b
Counts
1566 → 52
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
40.2b
(/.f64 -1/2 (/.f64 b_2 c))
✓34.5b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
48.4b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
42.5b
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
40.1b
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
56.0b
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
▶55.8b
(/.f64 0 a)
▶62.9b
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
45.8b
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
55.6b
(/.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)
53.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)
48.5b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
▶40.3b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
46.9b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
45.3b
(-.f64 (fma.f64 1/2 (/.f64 c b_2) 1) (-.f64 1 (*.f64 -2 (/.f64 b_2 a))))
42.7b
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
62.9b
(/.f64 (+.f64 (+.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2)) (+.f64 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2) (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2))) a)
46.8b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
40.3b
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
46.2b
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
51.8b
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
▶42.6b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
62.9b
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
✓44.1b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
48.7b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
56.0b
(*.f64 c (/.f64 1/2 b_2))
51.4b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
42.1b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8)))))
52.7b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
45.8b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))
56.0b
(*.f64 1/2 (/.f64 c b_2))
✓45.8b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
54.5b
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
52.3b
(/.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)
55.3b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2)))))) a)
58.6b
(/.f64 (neg.f64 b_2) a)
42.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))
✓42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
43.2b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 1/2 b_2) c)))
40.3b
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
✓42.3b
(*.f64 -2 (/.f64 b_2 a))
42.3b
(*.f64 (/.f64 -2 a) b_2)
45.4b
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
56.1b
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
42.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (*.f64 1/2 (/.f64 c b_2)))
62.9b
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
48.4b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
▶39.9b
(/.f64 (*.f64 -1/2 c) b_2)
45.6b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
42.4b
(/.f64 -2 (/.f64 a b_2))
48.3b
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
Compiler

Compiled 1567 to 1103 computations (29.6% saved)

localize12.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize35.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.1b
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
✓5.7b
(*.f64 (*.f64 a c) (/.f64 -1/2 b_2))
Compiler

Compiled 47 to 20 computations (57.4% saved)

series13.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
a
@0
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
1.0ms
b_2
@-inf
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
1.0ms
a
@-inf
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
1.0ms
b_2
@inf
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
1.0ms
a
@0
(*.f64 (*.f64 a c) (/.f64 -1/2 b_2))

rewrite87.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
689×fma-def_binary64
655×log-prod_binary64
382×fma-neg_binary64
231×pow1/3_binary64
226×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
125627
2393527
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 (*.f64 a c) (/.f64 -1/2 b_2))
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2)))) (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 a (*.f64 c -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c -1/2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a (*.f64 c -1/2))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (*.f64 c -1/2)) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (*.f64 c -1/2)) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (*.f64 c -1/2)) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 a c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 a (*.f64 c -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 c (/.f64 -1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c (/.f64 -1/2 b_2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 2) (*.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) (sqrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (*.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (fma.f64 a (*.f64 c (/.f64 -1/2 b_2)) b_2)) a)) 1))))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
17×associate-/l*_binary64
15×*-commutative_binary64
10×associate-/r/_binary64
9×associate-*l*_binary64
8×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014801
127801
249801
375801
4101801
5113801
Stop Event
1×saturated
Counts
136 → 72
Calls
Call 1
Inputs
(*.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))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.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 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.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 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.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 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.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 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))
Outputs
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.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 (*.f64 c (*.f64 -1/2 a)) b_2)
(*.f64 (/.f64 (*.f64 -1/2 a) b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
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(+.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
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(fma.f64 2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
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(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
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(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
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(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
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(fma.f64 2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.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 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a 2)))
(fma.f64 (/.f64 -1/2 b_2) c (/.f64 b_2 (/.f64 a 2)))
(fma.f64 c (/.f64 -1/2 b_2) (/.f64 b_2 (/.f64 a 2)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 c b_2))
✓0.6b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
✓16.0b
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series10.0ms (0.1%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
c
@-inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
1.0ms
c
@0
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
1.0ms
b_2
@inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
1.0ms
c
@inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
1.0ms
c
@0
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1_binary64
781×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
764×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119616
2213516
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b_2)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 -1/2 c)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b_2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2) (*.f64 (cbrt.f64 (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 (/.f64 c b_2)) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) (*.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 c) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -1/2) 3) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)) 3) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (cbrt.f64 (*.f64 b_2 b_2))) (/.f64 c (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2)) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) 1) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) (cbrt.f64 -1/2)) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6)) (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
63 → 63
Calls
Call 1
Inputs
Outputs

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
✓0.2b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓0.5b
(cbrt.f64 a)
✓0.5b
(pow.f64 (cbrt.f64 a) 2)
Compiler

Compiled 35 to 21 computations (40% saved)

series19.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
4.0ms
b_2
@0
(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
3.0ms
a
@-inf
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
1.0ms
a
@-inf
(pow.f64 (cbrt.f64 a) 2)
1.0ms
a
@0
(pow.f64 (cbrt.f64 a) 2)

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
533×log-prod_binary64
408×exp-prod_binary64
292×pow-prod-down_binary64
257×pow2_binary64
181×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
121628
2283528
Stop Event
1×node limit
Counts
4 → 180
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 a)
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 b_2) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (*.f64 -2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (*.f64 -2 b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 b_2)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 1) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 b_2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) 1) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) -2) (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 b_2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -2 b_2) 3) (*.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))))) (sqrt.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -2 b_2) (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 b_2) 3) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 2/3 (log.f64 a)) (log.f64 (*.f64 -2 b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))) 1) 1))))))

simplify119.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
712×associate-*l/_binary64
517×associate-/r/_binary64
482×associate-*r/_binary64
473×sqr-pow_binary64
450×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014348
132348
260348
3128348
4335348
51121348
62191348
74143348
85038348
95260348
105534348
115939348
126510348
137791348
Stop Event
1×node limit
Counts
216 → 184
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))
(*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (*.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) (*.f64 -2 b_2))

eval118.0ms (0.8%)

Compiler

Compiled 5485 to 3332 computations (39.3% saved)

prune135.0ms (0.9%)

Pruning

55 alts after pruning (47 fresh and 8 done)

PrunedKeptTotal
New36810378
Fresh53742
Picked011
Done279
Total37555430
Error
0.7b
Counts
430 → 55
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
40.2b
(/.f64 -1/2 (/.f64 b_2 c))
✓34.5b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
48.4b
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
42.5b
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
56.0b
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
✓55.8b
(/.f64 0 a)
45.8b
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
55.6b
(/.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)
53.6b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)
54.5b
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
48.5b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
48.3b
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))) 3)
45.3b
(-.f64 (fma.f64 1/2 (/.f64 c b_2) 1) (-.f64 1 (*.f64 -2 (/.f64 b_2 a))))
46.9b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
42.7b
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
62.9b
(/.f64 (+.f64 (+.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2)) (+.f64 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2) (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2))) a)
42.4b
(/.f64 -2 (/.f64 a b_2))
46.2b
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
54.5b
(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
46.8b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
40.3b
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
40.3b
(pow.f64 (*.f64 (cbrt.f64 (/.f64 c b_2)) (cbrt.f64 -1/2)) 3)
42.5b
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))) 3)
✓42.6b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
62.9b
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
✓44.1b
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
40.5b
(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 3)
56.0b
(*.f64 c (/.f64 1/2 b_2))
48.7b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
51.4b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
42.1b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8)))))
52.7b
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
45.8b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))
56.0b
(*.f64 1/2 (/.f64 c b_2))
53.3b
(/.f64 (/.f64 (*.f64 -2 b_2) (exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1) 2))) (cbrt.f64 a))
✓45.8b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
62.5b
(/.f64 b_2 (/.f64 a 2))
52.3b
(/.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)
55.3b
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2)))))) a)
58.6b
(/.f64 (neg.f64 b_2) a)
42.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))
✓42.4b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
43.2b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 1/2 b_2) c)))
40.3b
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
✓42.3b
(*.f64 -2 (/.f64 b_2 a))
42.3b
(*.f64 (/.f64 -2 a) b_2)
45.4b
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
56.1b
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
42.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (*.f64 1/2 (/.f64 c b_2)))
62.9b
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
48.4b
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
✓39.9b
(/.f64 (*.f64 -1/2 c) b_2)
48.4b
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/3) 3)
48.3b
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
Compiler

Compiled 850 to 608 computations (28.5% saved)

regimes3.3s (22.3%)

Counts
90 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) a)
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 1/2 b_2) c)))
(/.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(-.f64 (fma.f64 1/2 (/.f64 c b_2) 1) (-.f64 1 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 c b_2) (+.f64 1/2 (*.f64 (/.f64 c b_2) -1/8)))))
(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 3)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1/3) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) 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 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (*.f64 1/2 (/.f64 c b_2)))
(*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) a)
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (*.f64 (*.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (*.f64 -3/2 (*.f64 c (*.f64 a b_2)))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (*.f64 -1 (pow.f64 b_2 3)) (*.f64 3/2 (*.f64 c (*.f64 a b_2)))))) a)
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 c b_2)) (cbrt.f64 -1/2)) 3)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) b_2) a)
(/.f64 (+.f64 (+.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2)) (+.f64 (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2) (fma.f64 (*.f64 a c) (/.f64 -1/2 b_2) b_2))) a)
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))) 3)
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (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 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
(/.f64 (/.f64 (*.f64 -2 b_2) (exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1) 2))) (cbrt.f64 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1/2 (/.f64 b_2 c)))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_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)
(/.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)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
(/.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 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)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)
Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
Calls

4 calls:

1.9s
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
687.0ms
c
327.0ms
b_2
325.0ms
a
Results
ErrorSegmentsBranch
27.5b5a
7.9b3b_2
26.6b9c
14.4b5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 1193 to 550 computations (53.9% saved)

bsearch128.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
88.0ms
1.4924780999647813e+81
1.3109682710290122e+98
39.0ms
-7.240366777774196e-131
-8.5849515956785e-132
Compiler

Compiled 498 to 343 computations (31.1% saved)

regimes470.0ms (3.1%)

Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) a)
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (expm1.f64 (*.f64 (/.f64 1/2 b_2) c)))
(/.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 b_2 -2)) a)
Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
Calls

3 calls:

245.0ms
a
121.0ms
c
66.0ms
b_2
Results
ErrorSegmentsBranch
30.4b12a
10.6b3b_2
35.5b7c
Compiler

Compiled 306 to 154 computations (49.7% saved)

bsearch81.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
3.7017335843575583e-116
8.157017089194901e-113
36.0ms
-7.240366777774196e-131
-8.5849515956785e-132
Compiler

Compiled 392 to 285 computations (27.3% saved)

regimes874.0ms (5.8%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) a)
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
Calls

3 calls:

400.0ms
c
393.0ms
a
71.0ms
b_2
Results
ErrorSegmentsBranch
30.4b12a
10.7b3b_2
35.6b7c
Compiler

Compiled 272 to 137 computations (49.6% saved)

bsearch95.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
4.797340615311411e-118
4.412894093158535e-117
55.0ms
-7.240366777774196e-131
-8.5849515956785e-132
Compiler

Compiled 310 to 231 computations (25.5% saved)

regimes192.0ms (1.3%)

Counts
30 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (/.f64 (*.f64 c a) (*.f64 -2 b_2)) a)
(/.f64 (*.f64 c (*.f64 a (/.f64 1/2 b_2))) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (*.f64 a c) (/.f64 -1/2 b_2))) a)
(/.f64 (+.f64 (+.f64 b_2 b_2) (*.f64 (neg.f64 (/.f64 -1/2 b_2)) (*.f64 a c))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) a)
(-.f64 (/.f64 (+.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 a c) (/.f64 -1/2 b_2)) a))
(*.f64 (+.f64 b_2 (+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (*.f64 b_2 (neg.f64 (/.f64 (/.f64 1 a) c)))))) a)
Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -2 (/.f64 b_2 a))
Calls

3 calls:

104.0ms
a
47.0ms
c
32.0ms
b_2
Results
ErrorSegmentsBranch
35.3b4a
19.8b2b_2
37.8b2c
Compiler

Compiled 264 to 132 computations (50% saved)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
47.0ms
-5.824164254562064e-257
-5.137684228670528e-266
Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes149.0ms (1%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 (/.f64 -2 a) b_2)
Calls

3 calls:

70.0ms
c
57.0ms
a
19.0ms
b_2
Results
ErrorSegmentsBranch
35.3b4a
19.9b2b_2
37.9b2c
Compiler

Compiled 77 to 46 computations (40.3% saved)

bsearch83.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
83.0ms
-5.824164254562064e-257
-5.137684228670528e-266
Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes159.0ms (1.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
Outputs
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 (/.f64 -2 a) b_2)
Calls

3 calls:

83.0ms
a
52.0ms
c
22.0ms
b_2
Results
ErrorSegmentsBranch
35.4b4a
20.2b2b_2
38.1b2c
Compiler

Compiled 47 to 31 computations (34% saved)

bsearch100.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
100.0ms
-5.824164254562064e-257
-5.137684228670528e-266
Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes196.0ms (1.3%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a 2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 1/2 b_2))
Outputs
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 a b_2))
Calls

3 calls:

122.0ms
a
50.0ms
c
21.0ms
b_2
Results
ErrorSegmentsBranch
35.4b4a
20.2b2b_2
38.1b2c
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch239.0ms (1.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
238.0ms
-5.824164254562064e-257
-5.137684228670528e-266
Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes74.0ms (0.5%)

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

3 calls:

44.0ms
c
18.0ms
b_2
9.0ms
a
Results
ErrorSegmentsBranch
42.4b1a
36.0b2b_2
42.4b1c
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch211.0ms (1.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
209.0ms
-1.0811122081621009e-52
-2.59966784122072e-54
Compiler

Compiled 134 to 106 computations (20.9% saved)

regimes45.0ms (0.3%)

Accuracy

Total -10.1b remaining (-19.3%)

Threshold costs -10.1b (-19.3%)

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

3 calls:

20.0ms
c
16.0ms
b_2
7.0ms
a
Results
ErrorSegmentsBranch
55.8b1a
52.2b2b_2
54.7b2c
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch155.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
155.0ms
-1.0811122081621009e-52
-2.59966784122072e-54
Compiler

Compiled 127 to 99 computations (22% saved)

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
19×*-commutative_binary64
18×+-commutative_binary64
15×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065271
197271
2120271
3146271
4158271
5164271
6166271
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 1499999999999999987235111512055860810821282557259208096610092736733707476955824128) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 3371566348050911/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 348882587661891328/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 (*.f64 -1/2 c) b_2) (*.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 (*.f64 -1/2 c) b_2) (*.f64 (/.f64 -2 a) b_2))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 -1/2 (/.f64 b_2 c)) (*.f64 (/.f64 -2 a) b_2))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 0 a) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)
Outputs
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 1499999999999999987235111512055860810821282557259208096610092736733707476955824128) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 1499999999999999987235111512055860810821282557259208096610092736733707476955824128) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 3371566348050911/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 348882587661891328/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -859105201046961/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 (*.f64 -1/2 c) b_2) (*.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 (*.f64 -1/2 c) b_2) (*.f64 (/.f64 -2 a) b_2))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 (*.f64 -1/2 c) b_2) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 -1/2 (/.f64 b_2 c)) (*.f64 (/.f64 -2 a) b_2))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 -1/2 (/.f64 b_2 c)) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -3922058599151179/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 0 a) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)
Compiler

Compiled 215 to 149 computations (30.7% saved)

soundness0.0ms (0%)

end91.0ms (0.6%)

Compiler

Compiled 188 to 110 computations (41.5% saved)

Profiling

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