Details

Time bar (total: 18.3s)

analyze1.4s (7.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%93.6%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
11.1%10.1%81.1%0.1%0%8.6%0%9
18%15.6%71%0.1%0%13.3%0%10
25.9%22%63%0.1%0.8%14%0%11
35.5%29.1%52.9%0.1%1.6%16.4%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample4.2s (23%)

Results
1.5s5542×body256valid
1.1s1134×body2048valid
617.0ms740×body1024valid
444.0ms414×body4096valid
201.0ms979×body256invalid
198.0ms426×body512valid
128.0ms576×body256infinite
Bogosity

preprocess129.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
801×fma-def_binary64
678×div-sub_binary64
478×associate-/r*_binary64
440×distribute-frac-neg_binary64
353×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038104
19988
222088
344688
475688
5124988
6222388
7444888
8716588
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) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4))))) b))
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b) -1/2)
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 4 c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 c 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) c))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a))
(*.f64 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a) -1/2)
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify209.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
981×fma-def_binary64
771×fma-neg_binary64
681×div-sub_binary64
619×times-frac_binary64
478×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 -4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 22 computations (37.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
32.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
▶32.5b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓0.3b
(fma.f64 a (*.f64 c -4) (*.f64 b b))
✓1.3b
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)
✓20.1b
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
Compiler

Compiled 60 to 30 computations (50% saved)

series29.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
c
@inf
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
2.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
b
@0
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
1.0ms
a
@0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
a
@inf
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))

rewrite132.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
781×prod-diff_binary64
636×log-prod_binary64
366×fma-def_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362
128062
2364659
Stop Event
1×node limit
Counts
4 → 219
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (fma.f64 b 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simplify101.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
642×associate-/l*_binary64
579×associate-/r*_binary64
421×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
1×node limit
Counts
315 → 300
Calls
Call 1
Inputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
Outputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 2 c) (/.f64 b a)) b)
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)) b))
(fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4 (fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(*.f64 (/.f64 -2 b) (*.f64 c a))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(*.f64 (/.f64 -2 b) (*.f64 c a))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
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(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c))) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/64))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 b a)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a))))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
✓0.6b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
✓1.3b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
✓20.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 73 to 38 computations (47.9% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
1.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
1.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
1.0ms
c
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
1.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))

rewrite203.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
823×log-prod_binary64
734×fma-def_binary64
373×fma-neg_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134262
2492459
Stop Event
1×node limit
Counts
4 → 333
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 (*.f64 4 a) c) 3))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 4 a) c) (fma.f64 b b (*.f64 (*.f64 4 a) c)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 4 a) c) 2))) (hypot.f64 b (*.f64 2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))))
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(2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 1))))))

simplify94.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
644×associate-/l*_binary64
579×associate-/r*_binary64
421×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
1×node limit
Counts
429 → 413
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
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(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
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(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
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(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
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(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/4))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) -1/16)))))
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))) 1/64))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 a (/.f64 (pow.f64 c 4) b))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

eval689.0ms (3.8%)

Compiler

Compiled 19659 to 11991 computations (39% saved)

prune279.0ms (1.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New68825713
Fresh000
Picked011
Done101
Total68926715
Error
2.9b
Counts
715 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
44.3b
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a))
33.6b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
47.7b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
▶46.1b
(neg.f64 (/.f64 b a))
44.2b
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
55.2b
(*.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
▶45.6b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
43.4b
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a))
45.5b
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
✓32.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
32.9b
(/.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
32.5b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
46.5b
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) a))
55.3b
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
55.3b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
44.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
▶32.7b
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
55.5b
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
55.6b
(*.f64 (-.f64 b b) (/.f64 1/2 a))
46.1b
(-.f64 (/.f64 c b) (/.f64 b a))
▶32.2b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
43.4b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a))
38.1b
(/.f64 (neg.f64 c) b)
44.9b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
▶40.8b
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
Compiler

Compiled 930 to 632 computations (32% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓0.6b
(+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))
✓1.3b
(-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b)
✓20.1b
(sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))
Compiler

Compiled 69 to 31 computations (55.1% saved)

series27.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b)
2.0ms
c
@inf
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
c
@-inf
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
a
@-inf
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))

rewrite125.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
751×log-prod_binary64
650×fma-def_binary64
279×fma-neg_binary64
274×expm1-udef_binary64
274×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
131259
2430159
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b)
(+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3/2)) (hypot.f64 (*.f64 a (*.f64 c -4)) (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a c) (*.f64 -4 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)) (pow.f64 b 4))) (sqrt.f64 (-.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 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b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)) (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 (neg.f64 b) 3)) (+.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 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simplify78.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
642×associate-/l*_binary64
579×associate-/r*_binary64
421×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
1×node limit
Counts
334 → 319
Calls
Call 1
Inputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
Outputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
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(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 2 c) (/.f64 b a)) b)
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b))
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(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)) b))
(fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4 (fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(*.f64 (/.f64 -2 b) (*.f64 c a))
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
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(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(*.f64 (/.f64 -2 b) (*.f64 c a))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)) (neg.f64 b)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b)))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(*.f64 (/.f64 -2 b) (*.f64 c a))
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
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(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
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(*.f64 -2 b)
(*.f64 b -2)
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(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 2 c) (/.f64 b a)))
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 b a)))
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(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 b a)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a))))

localize5.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 -2 (/.f64 b (*.f64 c a)))
✓5.8b
(/.f64 b (*.f64 c a))
✓9.6b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series20.0ms (0.1%)

Counts
3 → 72
Calls

27 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
2.0ms
b
@inf
(/.f64 -2 (/.f64 b (*.f64 c a)))
1.0ms
a
@-inf
(/.f64 -2 (/.f64 b (*.f64 c a)))
1.0ms
b
@inf
(/.f64 b (*.f64 c a))
1.0ms
c
@inf
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))

rewrite84.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
707×log-prod_binary64
399×pow-prod-down_binary64
316×pow2_binary64
254×pow-unpow_binary64
248×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
124430
2351730
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 b (*.f64 c a))
(/.f64 -2 (/.f64 b (*.f64 c a)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 (/.f64 1 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) (sqrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) c) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) -2) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) -1/2) (/.f64 b (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c (/.f64 b a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2) (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 b)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) 1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 1))))))

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
100×fma-def_binary64
24×fma-neg_binary64
19×*-commutative_binary64
17×associate-/l*_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
1×saturated
Counts
214 → 146
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 b 3)
✓4.6b
(/.f64 c (/.f64 (pow.f64 b 3) c))
✓5.4b
(/.f64 (pow.f64 b 3) c)
✓8.0b
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
Compiler

Compiled 50 to 25 computations (50% saved)

series15.0ms (0.1%)

Counts
4 → 60
Calls

24 calls:

TimeVariablePointExpression
3.0ms
c
@0
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
1.0ms
c
@inf
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
1.0ms
b
@0
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
1.0ms
a
@0
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
1.0ms
b
@-inf
(pow.f64 b 3)

rewrite83.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
585×log-prod_binary64
337×pow-prod-down_binary64
290×prod-diff_binary64
283×pow2_binary64
207×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
122438
2297938
Stop Event
1×node limit
Counts
4 → 156
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(/.f64 (pow.f64 b 3) c)
(/.f64 c (/.f64 (pow.f64 b 3) c))
(pow.f64 b 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 b 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 b 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 b 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3/2) (pow.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 5/2) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 b b) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (cbrt.f64 b)) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 b 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 b)) 2))))))

simplify76.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
768×associate-/r*_binary64
671×associate-/l/_binary64
634×fma-def_binary64
559×associate-*l/_binary64
494×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013834
129834
281780
3290780
41416780
56407780
67496780
Stop Event
1×node limit
Counts
216 → 163
Calls
Call 1
Inputs
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
Outputs
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
✓0.7b
(fma.f64 b b (*.f64 (*.f64 a c) -4))
✓13.9b
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b)
✓20.6b
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
Compiler

Compiled 83 to 46 computations (44.6% saved)

series63.0ms (0.3%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
12.0ms
a
@inf
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b)
10.0ms
a
@inf
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
5.0ms
a
@0
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b)
3.0ms
c
@0
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b)
2.0ms
b
@0
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)

rewrite92.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
634×prod-diff_binary64
591×log-prod_binary64
336×pow2_binary64
285×fma-def_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
128552
2338952
Stop Event
1×node limit
Counts
4 → 190
Calls
Call 1
Inputs
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b)
(fma.f64 b b (*.f64 (*.f64 a c) -4))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1))))))
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simplify129.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
717×fma-def_binary64
507×associate-*r*_binary64
376×associate-*l*_binary64
353×associate-+r+_binary64
335×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05508682
119897666
Stop Event
1×node limit
Counts
334 → 381
Calls
Call 1
Inputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
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b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
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(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
Outputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 (*.f64 -1/16 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (*.f64 b b) (fma.f64 (*.f64 -3/512 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4)) (pow.f64 b 4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 c (*.f64 -4 a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
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(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
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(fma.f64 (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/1024) (pow.f64 b 6) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128)))))
(fma.f64 (pow.f64 b 6) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (*.f64 (sqrt.f64 -4) -1/1024)) (fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
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(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
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(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) b))
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 2 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2))) (/.f64 (pow.f64 b 5) c)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (pow.f64 b 5))) (-.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (fma.f64 (fma.f64 2 (*.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3))) (*.f64 -2 (/.f64 c (/.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2))))) (pow.f64 a 3) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (*.f64 -2 (*.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) c) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (/.f64 (*.f64 a a) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) -3/512))) (*.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4)))))))
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(fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(fma.f64 -1/8 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) a))))))))
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 c 3) -3/512)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (/.f64 a (*.f64 b b)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) a))) (pow.f64 c 3)) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (-.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) 1/8) (/.f64 (/.f64 a (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))) (pow.f64 c 3))))

eval711.0ms (3.9%)

Compiler

Compiled 30467 to 19734 computations (35.2% saved)

prune326.0ms (1.8%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New986231009
Fresh71320
Picked101
Done145
Total995401035
Error
0.5b
Counts
1035 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
44.7b
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
45.5b
(*.f64 (/.f64 1/2 a) (*.f64 (*.f64 c a) (/.f64 -2 b)))
44.3b
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a))
33.6b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
✓32.2b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶38.1b
(/.f64 (neg.f64 c) b)
43.4b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a))
44.7b
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
▶47.7b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
✓46.1b
(neg.f64 (/.f64 b a))
55.6b
(*.f64 0 (/.f64 1/2 a))
42.8b
(/.f64 (/.f64 -2 (*.f64 (/.f64 b c) (/.f64 1 a))) (*.f64 2 a))
54.2b
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a)) 3) 1/3)
45.7b
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 1 a) c) b)) (*.f64 2 a))
▶44.1b
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
46.5b
(expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))))
44.2b
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
55.2b
(*.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
✓45.6b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
46.1b
(-.f64 (/.f64 c b) (/.f64 b a))
43.4b
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a))
✓32.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
52.4b
(*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (/.f64 1/2 a))
43.5b
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
32.9b
(/.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
▶32.5b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
44.5b
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 c (/.f64 b a)) 2))
50.9b
(neg.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a (/.f64 c b)))) 1/3)))
44.9b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
44.9b
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) b) (/.f64 1/2 a))
44.4b
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))) (*.f64 2 a))
44.5b
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
46.5b
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) a))
50.9b
(neg.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a (/.f64 c b)))))
▶44.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
38.3b
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
55.5b
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
42.4b
(*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))
44.6b
(pow.f64 (*.f64 -1 (/.f64 a (/.f64 c (/.f64 b a)))) -1)
Compiler

Compiled 1336 to 936 computations (29.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
✓0.1b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
✓0.4b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
✓12.8b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
Compiler

Compiled 83 to 46 computations (44.6% saved)

series146.0ms (0.8%)

Counts
4 → 36
Calls

33 calls:

TimeVariablePointExpression
41.0ms
c
@inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
35.0ms
a
@0
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
7.0ms
c
@0
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
6.0ms
c
@inf
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
5.0ms
c
@-inf
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))

rewrite152.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
804×log-prod_binary64
579×prod-diff_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
244×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132366
2422166
Stop Event
1×node limit
Counts
4 → 215
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 a c) -4))
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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simplify175.0ms (1%)

Algorithm
1×egg-herbie
Rules
825×associate-/r*_binary64
635×unswap-sqr_binary64
444×associate-*l/_binary64
393×associate-*r/_binary64
257×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02221791
16881412
228281348
373521341
Stop Event
1×node limit
Counts
251 → 286
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) b)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))
(/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 -4 b) c) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 -4 b) c) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 (/.f64 -1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -2 b (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 b -2 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2))
(fma.f64 b -2 (*.f64 (/.f64 (*.f64 -1/2 c) b) (*.f64 a -4)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 (*.f64 1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3))))
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a 16)))))))
(fma.f64 b -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16)))) 1/8 (*.f64 (/.f64 (*.f64 -1/2 c) b) (*.f64 a -4))))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16))))
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))))
(fma.f64 b -2 (fma.f64 (*.f64 (*.f64 (/.f64 -4 b) c) a) -1/2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16)))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
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(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))))))
(-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (*.f64 -1/8 (*.f64 c c)) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16)))))
(+.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b)))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b)))

localize9.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 -2 b) a)
✓16.0b
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series43.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
33.0ms
a
@0
(/.f64 (/.f64 -2 b) a)
1.0ms
b
@inf
(/.f64 (/.f64 -2 b) a)
1.0ms
a
@inf
(/.f64 (/.f64 -2 b) a)
1.0ms
b
@0
(/.f64 (/.f64 -2 b) a)
1.0ms
a
@-inf
(/.f64 (/.f64 -2 b) a)

rewrite126.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
655×log-prod_binary64
505×pow-prod-down_binary64
321×pow2_binary64
282×log-div_binary64
229×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
124823
2349623
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
(/.f64 (/.f64 -2 b) a)
Outputs
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#<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 a (*.f64 a (*.f64 c 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (*.f64 a (*.f64 b -1/2)) (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (/.f64 2 a) (*.f64 a (*.f64 b -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 b -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 2 (*.f64 a (*.f64 b -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c 1/2)) (*.f64 a (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 a (*.f64 b -1/2)) (/.f64 (/.f64 2 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 2 a) c) (*.f64 a (*.f64 b -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 2) (*.f64 (/.f64 -2 b) (*.f64 a c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (*.f64 (/.f64 -2 b) c) (/.f64 2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (/.f64 -2 (*.f64 b a)) (*.f64 a c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 -2 (*.f64 b a)) (*.f64 a c)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 b a)))) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (*.f64 b a)) (/.f64 (/.f64 2 a) c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 b a))) 2) (cbrt.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 b)) 2) (*.f64 (cbrt.f64 (/.f64 -2 b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (*.f64 b a))) (sqrt.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 b)) (*.f64 (sqrt.f64 (/.f64 -2 b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) 1) (/.f64 (sqrt.f64 (/.f64 -2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 b)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 (/.f64 1 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (*.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b -1/2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 -2 b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b -1/2) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b a) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (*.f64 b -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b -1/2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 b a))) 1))))))

simplify47.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
8×sub-neg_binary64
4×+-commutative_binary64
4×*-commutative_binary64
4×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010384
117384
226384
332384
438384
546384
654384
764384
872384
986384
Stop Event
1×saturated
Counts
181 → 125
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 a b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))
(/.f64 -2 (*.f64 a b))
(/.f64 -2 (*.f64 b a))

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))
✓0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
✓12.8b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series64.0ms (0.4%)

Counts
3 → 28
Calls

24 calls:

TimeVariablePointExpression
41.0ms
b
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
2.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
2.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
2.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
2.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))

rewrite144.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
680×log-prod_binary64
387×fma-def_binary64
334×pow2_binary64
247×pow-unpow_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
128439
2396839
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))
Outputs
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b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (cbrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))

simplify270.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1191×fma-def_binary64
773×fma-neg_binary64
291×associate-*r*_binary64
285×div-sub_binary64
226×distribute-rgt-in_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
021380
136380
257380
372380
490380
5118380
6182380
7280380
8457380
9761380
101125371
111425371
122004371
133001371
143063371
153170371
163366371
173673371
184364371
194968371
205670371
215764371
225876371
235930371
245966371
255966371
Stop Event
1×saturated
Counts
170 → 153
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)
Outputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)
✓0.1b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
✓0.1b
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
✓0.3b
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)
Compiler

Compiled 62 to 37 computations (40.3% saved)

series35.0ms (0.2%)

Counts
4 → 38
Calls

33 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)
4.0ms
a
@-inf
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
4.0ms
a
@-inf
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)
1.0ms
a
@-inf
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)
1.0ms
c
@inf
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)

rewrite144.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
708×log-prod_binary64
503×prod-diff_binary64
262×pow1/3_binary64
259×expm1-udef_binary64
259×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
130257
2382757
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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(2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 (neg.f64 b) 3)) (+.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 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b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1 (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1 (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1 (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1 (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 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(2) ((x pow.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 1))))))

simplify109.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
955×times-frac_binary64
715×associate-/l*_binary64
667×fma-def_binary64
603×unswap-sqr_binary64
527×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691590
14991328
217711283
373451283
Stop Event
1×node limit
Counts
224 → 254
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
b
b
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)))
(*.f64 -1 b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))) b))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/2 b) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
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(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) -1/32))
(-.f64 (fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b))) (/.f64 b a))
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (-.f64 (/.f64 c b) (/.f64 b a))))
b
b
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/2 b) (/.f64 (sqrt.f64 -4) b))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 b 6))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))))
b
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b)
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b)
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) b)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b))
(+.f64 b (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b)))
(+.f64 (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (neg.f64 b))
(-.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) b)
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 b)))
(-.f64 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 a (*.f64 a 16))) (pow.f64 b 3))) b)
(-.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 16)) 1/8)) (pow.f64 b 3))) b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b))))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16)) b))
(fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (fma.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/16 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 16)) 1/8)) (pow.f64 b 3)) b)))

eval552.0ms (3%)

Compiler

Compiled 18697 to 12418 computations (33.6% saved)

prune242.0ms (1.3%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New80513818
Fresh22931
Picked011
Done448
Total83127858
Error
0.2b
Counts
858 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
44.1b
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
37.8b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
42.3b
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
✓32.2b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓38.1b
(/.f64 (neg.f64 c) b)
47.0b
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3)))
▶55.6b
(*.f64 0 (/.f64 1/2 a))
✓47.7b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
38.3b
(/.f64 1 (/.f64 (neg.f64 b) c))
✓46.1b
(neg.f64 (/.f64 b a))
▶45.1b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
55.2b
(*.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
43.5b
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
47.0b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
45.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
▶44.9b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
44.9b
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) b) (/.f64 1/2 a))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
▶44.5b
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
51.2b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))
51.1b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
44.3b
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a))
42.4b
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
46.1b
(-.f64 (/.f64 c b) (/.f64 b a))
✓32.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
▶33.8b
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
Compiler

Compiled 811 to 572 computations (29.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (neg.f64 b) (/.f64 1/2 a))
✓0.2b
(*.f64 a (*.f64 c -4))
✓2.8b
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
✓12.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 72 to 45 computations (37.5% saved)

series20.0ms (0.1%)

Counts
4 → 62
Calls

27 calls:

TimeVariablePointExpression
2.0ms
c
@0
(*.f64 a (*.f64 c -4))
2.0ms
c
@inf
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms
c
@-inf
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms
a
@-inf
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms
a
@inf
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))

rewrite159.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
788×log-prod_binary64
396×fma-def_binary64
269×expm1-udef_binary64
269×log1p-udef_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01548
133244
2450444
Stop Event
1×node limit
Counts
4 → 289
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(*.f64 a (*.f64 c -4))
(*.f64 (neg.f64 b) (/.f64 1/2 a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 a 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 a 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 1/2 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 a 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 a 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a 2))) 1))))))

simplify71.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
678×associate-*r*_binary64
674×unswap-sqr_binary64
629×associate-*l*_binary64
440×times-frac_binary64
328×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107898
1305782
21022746
35812723
Stop Event
1×node limit
Counts
351 → 319
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/2 b) (*.f64 -1/2 b)) a)
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
Outputs
(/.f64 (+.f64 (*.f64 1/2 b) (*.f64 -1/2 b)) a)
(/.f64 (*.f64 b 0) a)
0
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))
(/.f64 (*.f64 b 0) a)
0
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 -1 a)))
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (neg.f64 a)))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)))))
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -64)))))
(+.f64 (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 -1 a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))
(+.f64 (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (neg.f64 a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5))))))
(+.f64 (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -64)))) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 -1 a)))))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (neg.f64 a)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 1 a)))
(+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -64)) -1/32))
(+.f64 (/.f64 c b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 1 a)) (-.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (/.f64 b a))))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

localize8.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.2b
(/.f64 c (/.f64 b a))
✓9.6b
(/.f64 (/.f64 c (/.f64 b a)) a)
Compiler

Compiled 31 to 9 computations (71% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite70.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
510×log-prod_binary64
393×exp-prod_binary64
348×prod-exp_binary64
297×pow-prod-down_binary64
230×div-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
115717
2246614
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 (/.f64 c (/.f64 b a)) a)
(/.f64 c (/.f64 b a))
Outputs
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b) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (+.f64 (log.f64 (/.f64 c b)) 0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (/.f64 c b)) 0) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c) 1) (log.f64 (*.f64 a (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 c (/.f64 a b))) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1) (neg.f64 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 a)) (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 2) (cbrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) (sqrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) b) (/.f64 (sqrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) -2) (/.f64 c (cbrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) -1/2) (/.f64 c (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 b a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) (/.f64 a (cbrt.f64 a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b (*.f64 c a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b))))) (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c (/.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c) 1) (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c) (*.f64 (log.f64 (/.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c) 1) (*.f64 (log.f64 (/.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c) 1) (log.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 a b)) (*.f64 (log.f64 c) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 c b)) (*.f64 (log.f64 a) 1)))))))

simplify31.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07396
110396
213396
316396
417396
Stop Event
1×saturated
Counts
200 → 131
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
Outputs
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))

localize37.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)
✓0.2b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
12.8b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 45 to 29 computations (35.6% saved)

series12.0ms (0.1%)

Counts
2 → 28
Calls

18 calls:

TimeVariablePointExpression
1.0ms
c
@0
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms
c
@inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms
a
@-inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms
c
@-inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))

rewrite122.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
768×prod-diff_binary64
642×log-prod_binary64
372×fma-def_binary64
234×pow1/3_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
126230
2343730
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 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(*.f64 a -4)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 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c)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))

simplify219.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1191×fma-def_binary64
773×fma-neg_binary64
291×associate-*r*_binary64
285×div-sub_binary64
226×distribute-rgt-in_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
021380
136380
257380
372380
490380
5118380
6182380
7280380
8457380
9758380
101120371
111421371
122000371
132996371
143058371
153165371
163367371
173662371
184358371
194962371
205663371
215757371
225869371
235923371
245973371
255973371
Stop Event
1×saturated
Counts
185 → 169
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
Outputs
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
✓0.2b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
✓0.2b
(*.f64 (*.f64 c -4) a)
✓12.8b
(sqrt.f64 (*.f64 (*.f64 c -4) a))
Compiler

Compiled 60 to 40 computations (33.3% saved)

series50.0ms (0.3%)

Counts
4 → 52
Calls

30 calls:

TimeVariablePointExpression
15.0ms
c
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
5.0ms
a
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
4.0ms
c
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
3.0ms
a
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
3.0ms
c
@0
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)

rewrite96.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
875×prod-diff_binary64
744×log-prod_binary64
353×fma-def_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
130452
2401852
Stop Event
1×node limit
Counts
4 → 153
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 c -4) a))
(*.f64 (*.f64 c -4) a)
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (pow.f64 (*.f64 -4 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c -4))) (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 c -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 -4 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -4) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 c -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1))))))
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-4 a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a -2) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a -2) 3) (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1))))))

simplify67.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
679×fma-def_binary64
642×times-frac_binary64
536×associate-*r*_binary64
524×associate-*l*_binary64
396×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251133
1393914
21542856
37760856
Stop Event
1×node limit
Counts
205 → 183
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -2 (/.f64 a b))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
Outputs
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 c -4))
(*.f64 c (*.f64 a -4))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 -2 (/.f64 a b))
(/.f64 -2 (/.f64 b a))
(*.f64 (/.f64 -2 b) a)
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(/.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 -4) 2))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(*.f64 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 -1/2 (/.f64 b c) (/.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 -4) 2)))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b (*.f64 (sqrt.f64 -4) -4)) b) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3)))))))
(+.f64 (*.f64 -1/2 (/.f64 b c)) (*.f64 2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 16 (*.f64 c c)))))))
(fma.f64 -1/2 (/.f64 b c) (fma.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b (*.f64 (sqrt.f64 -4) -4)) b) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) (*.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) (/.f64 1/8 a))))
(*.f64 -2 (/.f64 a b))
(/.f64 -2 (/.f64 b a))
(*.f64 (/.f64 -2 b) a)
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (pow.f64 (sqrt.f64 -4) 3)) (pow.f64 b 4)) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (/.f64 (pow.f64 b 4) -4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))
(/.f64 -2 (/.f64 b a))
(*.f64 (/.f64 -2 b) a)
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (pow.f64 (sqrt.f64 -4) 3)) (pow.f64 b 4)) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (/.f64 (pow.f64 b 4) -4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))
(/.f64 -2 (/.f64 b a))
(*.f64 (/.f64 -2 b) a)

eval937.0ms (5.1%)

Compiler

Compiled 18754 to 12569 computations (33% saved)

prune307.0ms (1.7%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New81910829
Fresh51217
Picked101
Done279
Total82729856
Error
0.2b
Counts
856 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 a (*.f64 -4 c)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))
44.3b
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a))
44.1b
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
37.8b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
42.3b
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
✓32.2b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓38.1b
(/.f64 (neg.f64 c) b)
42.4b
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
55.6b
0
✓47.7b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
38.3b
(/.f64 1 (/.f64 (neg.f64 b) c))
✓46.1b
(neg.f64 (/.f64 b a))
44.9b
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
34.1b
(-.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) (/.f64 b (*.f64 a 2)))
✓32.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
43.5b
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
47.0b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
✓44.9b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
53.6b
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)) -1)
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
✓44.5b
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
45.2b
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) b) (/.f64 1/2 a))
51.1b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
44.9b
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
48.0b
(+.f64 (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
46.1b
(-.f64 (/.f64 c b) (/.f64 b a))
51.1b
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a))
55.2b
(*.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
Compiler

Compiled 481 to 339 computations (29.5% saved)

regimes1.0s (5.6%)

Counts
73 → 3
Calls
Call 1
Inputs
0
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(*.f64 0 (/.f64 1/2 a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
(*.f64 (/.f64 1/2 a) (*.f64 (*.f64 c a) (/.f64 -2 b)))
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 c (/.f64 b a)) 2))
(*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 b c) (/.f64 1 a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 1 a) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(pow.f64 (*.f64 -1 (/.f64 a (/.f64 c (/.f64 b a)))) -1)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 a (*.f64 -4 c)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
(expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a))
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a)) 3) 1/3)
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) a))
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) b) (/.f64 1/2 a))
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) (/.f64 b (*.f64 a 2)))
(+.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))) (*.f64 2 a))
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a))
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a))
(+.f64 (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a))
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(neg.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a (/.f64 c b)))))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)) -1)
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3)))
(neg.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a (/.f64 c b)))) 1/3)))
(*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (/.f64 1/2 a))
(/.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Calls

5 calls:

371.0ms
c
215.0ms
b
152.0ms
a
125.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
99.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Results
ErrorSegmentsBranch
24.3b4a
8.3b3b
24.3b7c
10.6b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
10.6b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Compiler

Compiled 1051 to 616 computations (41.4% saved)

bsearch60.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
7.749171385983038e-168
1.5630543024796472e-165
6.0ms
-1.9401410736906825e+160
-2.3792605095727896e+153
Compiler

Compiled 293 to 208 computations (29% saved)

regimes593.0ms (3.2%)

Counts
39 → 3
Calls
Call 1
Inputs
0
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(*.f64 0 (/.f64 1/2 a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
(*.f64 (/.f64 1/2 a) (*.f64 (*.f64 c a) (/.f64 -2 b)))
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 c (/.f64 b a)) 2))
(*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 b c) (/.f64 1 a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 1 a) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(pow.f64 (*.f64 -1 (/.f64 a (/.f64 c (/.f64 b a)))) -1)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
Outputs
(neg.f64 (/.f64 b a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Calls

3 calls:

253.0ms
a
243.0ms
c
85.0ms
b
Results
ErrorSegmentsBranch
26.0b6a
8.3b3b
26.3b9c
Compiler

Compiled 404 to 225 computations (44.3% saved)

bsearch160.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
154.0ms
7.749171385983038e-168
1.5630543024796472e-165
6.0ms
-7.163550373003768e+133
-1.0652824318706337e+118
Compiler

Compiled 285 to 200 computations (29.8% saved)

regimes566.0ms (3.1%)

Counts
38 → 3
Calls
Call 1
Inputs
0
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(*.f64 0 (/.f64 1/2 a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
(*.f64 (/.f64 1/2 a) (*.f64 (*.f64 c a) (/.f64 -2 b)))
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 c (/.f64 b a)) 2))
(*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 b c) (/.f64 1 a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 1 a) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(pow.f64 (*.f64 -1 (/.f64 a (/.f64 c (/.f64 b a)))) -1)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(neg.f64 (+.f64 (/.f64 c b) (*.f64 (*.f64 (pow.f64 b -3) (*.f64 c c)) a)))
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Calls

3 calls:

265.0ms
c
227.0ms
a
51.0ms
b
Results
ErrorSegmentsBranch
30.0b8a
11.8b3b
32.8b5c
Compiler

Compiled 388 to 216 computations (44.3% saved)

bsearch154.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
7.749171385983038e-168
1.5630543024796472e-165
104.0ms
-4.298485416265207e-96
-9.677458656702107e-102
Compiler

Compiled 472 to 337 computations (28.6% saved)

regimes187.0ms (1%)

Counts
29 → 2
Calls
Call 1
Inputs
0
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(*.f64 0 (/.f64 1/2 a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))
(/.f64 (*.f64 (*.f64 a (*.f64 c 1/2)) -2) (*.f64 b a))
(/.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))
(/.f64 (/.f64 -2 b) (*.f64 (/.f64 (/.f64 2 a) c) a))
(*.f64 (/.f64 1/2 a) (*.f64 (*.f64 c a) (/.f64 -2 b)))
(*.f64 (/.f64 (/.f64 -2 b) a) (/.f64 (*.f64 c a) 2))
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 c (/.f64 b a)) 2))
(*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 b c) (/.f64 1 a))) (*.f64 2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 1 a) c) b)) (*.f64 2 a))
(*.f64 (-.f64 (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(pow.f64 (*.f64 -1 (/.f64 a (/.f64 c (/.f64 b a)))) -1)
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Calls

3 calls:

80.0ms
a
71.0ms
c
28.0ms
b
Results
ErrorSegmentsBranch
32.8b6a
21.4b2b
35.0b4c
Compiler

Compiled 269 to 149 computations (44.6% saved)

bsearch74.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
73.0ms
-8.50704350001392e-286
-2.324400897046317e-294
Compiler

Compiled 242 to 163 computations (32.6% saved)

regimes99.0ms (0.5%)

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

3 calls:

45.0ms
a
34.0ms
c
16.0ms
b
Results
ErrorSegmentsBranch
33.1b6a
21.6b2b
35.2b4c
Compiler

Compiled 87 to 45 computations (48.3% saved)

bsearch52.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
52.0ms
-8.939391999192656e-300
3.769035193357333e-288
Compiler

Compiled 235 to 162 computations (31.1% saved)

regimes61.0ms (0.3%)

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

3 calls:

26.0ms
a
22.0ms
c
9.0ms
b
Results
ErrorSegmentsBranch
33.1b6a
21.7b2b
35.4b4c
Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch65.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
65.0ms
5.721749217609971e-201
1.0354653819254814e-171
Compiler

Compiled 202 to 151 computations (25.2% saved)

regimes24.0ms (0.1%)

Accuracy

Total -17.8b remaining (-46.7%)

Threshold costs -17.8b (-46.7%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(/.f64 (neg.f64 c) b)
Outputs
(/.f64 (neg.f64 c) b)
Calls

3 calls:

11.0ms
c
8.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
38.1b1a
38.1b1b
38.1b1c
Compiler

Compiled 20 to 15 computations (25% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
17×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
9×neg-sub0_binary64
9×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067241
198239
2130239
3145239
4152239
5153239
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224) (neg.f64 (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (neg.f64 (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -3089117285797327/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -6903141637871293/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))
(if (<=.f64 b 4712544691453469/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 2693189581592767/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Outputs
(if (<=.f64 b -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224) (neg.f64 (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224) (/.f64 (neg.f64 b) a) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224) (/.f64 (neg.f64 b) a) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c))) b) (*.f64 a 2)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (neg.f64 (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 (neg.f64 b) a) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -3089117285797327/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -3089117285797327/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4249103942534137/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a) -2) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b -6903141637871293/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))
(if (<=.f64 b 4712544691453469/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 2693189581592767/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 2693189581592767/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Compiler

Compiled 186 to 121 computations (34.9% saved)

soundness879.0ms (4.8%)

Algorithm
4×egg-herbie
Rules
981×fma-def_binary64
981×fma-def_binary64
978×times-frac_binary64
978×fma-def_binary64
825×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
01842477
15822367
221172202
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
02221791
16881412
228281348
373521341
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 966 to 686 computations (29% saved)

end66.0ms (0.4%)

Compiler

Compiled 165 to 76 computations (53.9% saved)

Profiling

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