Details

Time bar (total: 14.0s)

analyze355.0ms (2.5%)

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)

sample2.7s (19%)

Results
1.0s5556×body256valid
614.0ms1199×body2048valid
378.0ms749×body1024valid
268.0ms383×body4096valid
211.0ms1060×body256invalid
95.0ms369×body512valid
78.0ms545×body256infinite
Bogosity

preprocess84.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
551×associate-/l*_binary64
461×fma-neg_binary64
449×div-sub_binary64
441×associate-/r*_binary64
321×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
111596
230896
378488
4148388
5284788
6657088
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 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 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 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))
(*.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))))
(*.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 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 c 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))))
(*.f64 (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify131.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1217×fma-neg_binary64
846×fma-def_binary64
776×div-sub_binary64
405×times-frac_binary64
325×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01526
13824
210024
325922
446122
584022
6179322
7301022
8370122
9476122
10649122
11746122
12758722
13768222
14771422
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
35.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.6b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
▶35.6b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓1.0b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
✓1.2b
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
✓21.9b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series50.0ms (0.4%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
b
@0
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
3.0ms
b
@-inf
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
3.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
2.0ms
c
@inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
2.0ms
a
@inf
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

rewrite131.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
955×prod-diff_binary64
667×log-prod_binary64
286×fma-def_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128059
2365559
Stop Event
1×node limit
Counts
4 → 161
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.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 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 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.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 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c 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(/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 -1/2 a) b))))))

simplify112.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
609×fma-neg_binary64
573×associate-*r*_binary64
570×times-frac_binary64
534×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462203
14402105
214801988
371501952
Stop Event
1×node limit
Counts
257 → 235
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 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) 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 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.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 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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
(*.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)))
(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 (pow.f64 (*.f64 c 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))))
(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 (pow.f64 (*.f64 c 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 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.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 c b) (*.f64 a 2)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) 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 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -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)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.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 b (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))))))
(+.f64 b (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)) 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 b (+.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))) (+.f64 b (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)))))))
(+.f64 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 -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)))))
(+.f64 (*.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) (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)) b)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (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)) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2)))
(+.f64 (*.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 2 b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))
(+.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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
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(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
✓0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
✓1.2b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
✓21.9b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 73 to 32 computations (56.2% saved)

series23.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
c
@-inf
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
3.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
1.0ms
c
@inf
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
1.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
1.0ms
a
@inf
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))

rewrite140.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
750×fma-def_binary64
382×fma-neg_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
229×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134762
2512659
Stop Event
1×node limit
Counts
4 → 394
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
((#(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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (*.f64 4 (*.f64 a c)) (fma.f64 4 (*.f64 a c) (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (hypot.f64 b (*.f64 2 (sqrt.f64 (*.f64 a c)))))))) (#(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 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(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 (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(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 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 2))) (/.f64 b (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))))

simplify105.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
708×fma-neg_binary64
706×fma-def_binary64
596×associate-*r*_binary64
579×times-frac_binary64
561×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512214
14622111
215642000
374912000
Stop Event
1×node limit
Counts
490 → 470
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 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 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 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 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 -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 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 -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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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
(*.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)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) 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 (*.f64 c a) b) (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 c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 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 (*.f64 c a) b) (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) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (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 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c a) b)))))
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b
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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)))
(+.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))
(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)))
(+.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)))
(+.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)))
(+.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 -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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.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))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))))
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+.f64 (*.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 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.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 -1/2 (/.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))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))) -1/64))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.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 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.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))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (pow.f64 b 7)) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))

eval421.0ms (3%)

Compiler

Compiled 19038 to 11081 computations (41.8% saved)

prune207.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New68520705
Fresh000
Picked101
Done101
Total68720707
Error
4.5b
Counts
707 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
36.6b
(*.f64 (+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3))) (/.f64 -1/2 a))
45.6b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
45.6b
(-.f64 (/.f64 c b) (/.f64 b a))
44.9b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
42.9b
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
▶35.6b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
37.1b
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
45.7b
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
▶57.6b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
44.9b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶46.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
37.9b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
45.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
▶32.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
37.9b
(/.f64 (neg.f64 c) b)
60.5b
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
46.6b
(*.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) a))
58.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)))) 1)
45.3b
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
▶45.6b
(/.f64 (neg.f64 b) a)
Compiler

Compiled 624 to 448 computations (28.2% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
✓0.1b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
✓0.7b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
✓12.4b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series92.0ms (0.7%)

Counts
4 → 42
Calls

33 calls:

TimeVariablePointExpression
13.0ms
a
@inf
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
10.0ms
c
@-inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
8.0ms
a
@inf
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
6.0ms
c
@inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
5.0ms
a
@inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))

rewrite128.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
796×log-prod_binary64
689×prod-diff_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
243×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132366
2423766
Stop Event
1×node limit
Counts
4 → 169
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
Outputs
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simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
807×associate-/r*_binary64
635×unswap-sqr_binary64
415×associate-*l/_binary64
367×associate-*r/_binary64
248×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171823
16731443
227871382
371851375
Stop Event
1×node limit
Counts
211 → 240
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 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 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 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 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.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 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.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 1/8 (/.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)) (+.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 (*.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 2 b)
(*.f64 2 b)
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.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 (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 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 (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 -1 (*.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 (*.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 -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))))))
(*.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))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.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 b (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))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b 1/2) (/.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 b (+.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))) (+.f64 b (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)))))))
(+.f64 (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 (sqrt.f64 -4) -4))) b))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) 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))) b))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))
(fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))
(fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -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 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 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 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -4)) (/.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 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 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 a 3)) (/.f64 (pow.f64 b 5) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))))
(+.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)) (fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -4))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(/.f64 (*.f64 -1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(*.f64 (/.f64 -1/2 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 (*.f64 -1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a (*.f64 a 16)))) 1/8) (pow.f64 b 3)))
(fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))
(+.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)) (*.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 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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.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 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)))))
(+.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)) (+.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 (*.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))))))
(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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (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 (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 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.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 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (fma.f64 1/2 (/.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 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
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(/.f64 (neg.f64 b) c)
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(+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.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))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c)))
(+.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))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -2 (/.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 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.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 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -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)) (*.f64 c (*.f64 c (*.f64 a 16)))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 a a) (*.f64 c -4)) -1/2))) (*.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.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 a (*.f64 c (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2))) (*.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 a b) (-.f64 (*.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 a (*.f64 c (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2))) (*.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 b c)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0.1%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

localize61.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (/.f64 (*.f64 c a) b))
✓3.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
✓5.9b
(/.f64 (*.f64 c a) b)
Compiler

Compiled 56 to 27 computations (51.8% saved)

series17.0ms (0.1%)

Counts
3 → 36
Calls

27 calls:

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

rewrite80.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
793×log-prod_binary64
344×fma-def_binary64
280×pow1/3_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
131037
2423437
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 c a) b)
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 -2 (/.f64 (*.f64 c a) b))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) (/.f64 -1/2 a)) (*.f64 (+.f64 b b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 b b) (/.f64 -1/2 a)) (*.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 (/.f64 -1/2 a) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b)) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b))) (/.f64 -1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b))) (/.f64 -1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c 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b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))) (/.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2)) 1) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b)) (/.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 b 3) 8 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8)) 1/2) (*.f64 (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (fma.f64 (pow.f64 b 3) 8 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8))) (*.f64 a (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (fma.f64 (pow.f64 b 3) 8 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8))) (*.f64 (neg.f64 a) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2))) (*.f64 a (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) -1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) -1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 b 3) 8 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8)) (/.f64 -1/2 a)) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2)) (/.f64 -1/2 a)) (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (fma.f64 (pow.f64 b 3) 8 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8))) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) -2)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (+.f64 b b) 2))) (fma.f64 (*.f64 (/.f64 c b) a) -2 (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) 3) (pow.f64 (/.f64 -1/2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 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 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) (/.f64 -1/2 a) (*.f64 (+.f64 b b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b b) (/.f64 -1/2 a) (*.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2) (*.f64 (/.f64 -1/2 a) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 c b) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (/.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (*.f64 c a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 c a) -2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -2) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (neg.f64 a)) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c (neg.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (*.f64 c a) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 c b) a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)) 1))))))

simplify84.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
506×fma-def_binary64
266×fma-neg_binary64
120×associate-/l*_binary64
96×cancel-sign-sub-inv_binary64
94×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09368
114314
224314
334314
447314
571314
6119314
7175314
8257314
9408314
10679314
111121314
121656314
132118314
142220314
152224314
162236314
172246314
Stop Event
1×saturated
Counts
166 → 135
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓0.8b
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
✓1.2b
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
✓21.9b
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
1.0ms
a
@-inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
1.0ms
b
@0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
1.0ms
a
@inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
0.0ms
c
@inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

rewrite114.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
743×log-prod_binary64
583×fma-def_binary64
314×fma-neg_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
131159
2433059
Stop Event
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 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 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 -1/2 a) b))))))

simplify141.0ms (1%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
609×fma-neg_binary64
573×associate-*r*_binary64
570×times-frac_binary64
534×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462203
14402105
214801988
371501952
Stop Event
1×node limit
Counts
294 → 272
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 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) 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 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.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 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.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 2 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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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
(*.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)))
(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 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
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(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))))
(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 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
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(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
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(*.f64 -1 b)
(neg.f64 b)
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(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) 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)))
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(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 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))))
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) 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 a (/.f64 c b)) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
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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 a (/.f64 c b)) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.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))))))
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(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)) b))
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(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))) (+.f64 b (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)))))))
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(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2)))
(+.f64 (*.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 2 b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))
(+.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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(+.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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
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(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

eval502.0ms (3.6%)

Compiler

Compiled 15524 to 9984 computations (35.7% saved)

prune231.0ms (1.7%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New63215647
Fresh9615
Picked011
Done044
Total64126667
Error
3.3b
Counts
667 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
▶45.8b
(fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))
45.6b
(/.f64 1 (/.f64 (neg.f64 a) b))
38.5b
(/.f64 1 (/.f64 (neg.f64 b) c))
60.5b
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
45.8b
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
▶45.8b
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
44.9b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
44.9b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
42.9b
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
▶57.9b
(/.f64 c b)
51.5b
(*.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))) (*.f64 2 b)) (/.f64 -1/2 a))
✓45.6b
(/.f64 (neg.f64 b) a)
▶37.1b
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2)) (/.f64 -1/2 a))
45.8b
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
✓35.6b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓32.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
38.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
45.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
37.9b
(/.f64 (neg.f64 c) b)
46.3b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
58.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)))) 1)
▶45.6b
(-.f64 (/.f64 c b) (/.f64 b a))
45.7b
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 a -1/2))
✓57.6b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
✓46.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
45.6b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
Compiler

Compiled 716 to 517 computations (27.8% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2)
1.0b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
✓13.9b
(+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2))
✓22.6b
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)
Compiler

Compiled 83 to 53 computations (36.1% saved)

series90.0ms (0.6%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
45.0ms
c
@-inf
(+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2))
7.0ms
c
@-inf
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)
3.0ms
a
@-inf
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)
3.0ms
b
@0
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)
2.0ms
a
@inf
(+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2))

rewrite127.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
754×prod-diff_binary64
583×log-prod_binary64
334×pow2_binary64
251×fma-def_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
128441
2339041
Stop Event
1×node limit
Counts
3 → 104
Calls
Call 1
Inputs
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)
(+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change 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simplify174.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
668×fma-def_binary64
464×associate-*r*_binary64
433×associate-+r+_binary64
370×+-commutative_binary64
368×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05137850
118356997
Stop Event
1×node limit
Counts
212 → 284
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)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 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))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.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)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
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(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.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)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.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 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.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)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
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(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
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b
(*.f64 2 b)
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b
(+.f64 b (*.f64 -1 b))
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(*.f64 2 b)
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(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
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b
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b
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(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 -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 (/.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))))
(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)) (fma.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))))
(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 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 c (*.f64 -4 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 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (*.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)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 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))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (*.f64 (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (*.f64 c (*.f64 a (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
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b
(*.f64 2 b)
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b
(+.f64 b (*.f64 -1 b))
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0
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b
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(*.f64 -1 b)
(neg.f64 b)
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(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
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b
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(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)
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(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 b (/.f64 a b)) (/.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 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (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 b (/.f64 a b)) (/.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 (*.f64 -3/512 (/.f64 (pow.f64 b 4) (*.f64 a a))) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (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 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 a (*.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)))))) (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 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (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 b (/.f64 a b)) (/.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 (*.f64 -3/512 (/.f64 (pow.f64 b 4) (*.f64 a a))) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 1/8 (*.f64 (/.f64 (*.f64 -3/512 (/.f64 (pow.f64 b 4) (*.f64 a a))) a) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) 2))) (pow.f64 c 3))))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 c b) (/.f64 b a))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite111.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
470×log-prod_binary64
351×exp-prod_binary64
337×pow-prod-down_binary64
309×fma-def_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116410
2265210
Stop Event
1×node limit
Counts
1 → 147
Calls
Call 1
Inputs
(-.f64 (/.f64 c b) (/.f64 b a))
Outputs
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simplify121.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
506×fma-def_binary64
266×fma-neg_binary64
120×associate-/l*_binary64
96×cancel-sign-sub-inv_binary64
94×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09368
114314
224314
334314
447314
571314
6119314
7175314
8257314
9408314
10679314
111121314
121656314
132118314
142220314
152224314
162236314
172246314
Stop Event
1×saturated
Counts
183 → 152
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b))))
✓0.2b
(*.f64 c (/.f64 1 b))
✓3.3b
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
✓5.5b
(*.f64 a (*.f64 c (/.f64 1 b)))
Compiler

Compiled 70 to 47 computations (32.9% saved)

series10.0ms (0.1%)

Counts
4 → 132
Calls

33 calls:

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

rewrite122.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
836×log-prod_binary64
409×fma-def_binary64
289×expm1-udef_binary64
289×log1p-udef_binary64
237×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
134641
2448641
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(*.f64 a (*.f64 c (/.f64 1 b)))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 c (/.f64 1 b))
(*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (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 a (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) -1) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 c 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 a (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 -1/2 a)) (*.f64 (+.f64 b b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 b b) (/.f64 -1/2 a)) (*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 (/.f64 -1/2 a) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b)) (*.f64 (/.f64 -1/2 a) (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3))) (*.f64 (*.f64 a -2) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2))) (*.f64 (*.f64 a -2) (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3))) 1) (*.f64 (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2))) 1) (*.f64 (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3))) -1/2) (*.f64 (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2))) -1/2) (*.f64 (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3))) 1/2) (*.f64 (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2))) 1/2) (*.f64 (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3)))) (*.f64 a (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3)))) (*.f64 (neg.f64 a) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2)))) (*.f64 a (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2)))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) -1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3))) (/.f64 -1/2 a)) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2))) (/.f64 -1/2 a)) (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (fma.f64 -8 (pow.f64 (*.f64 a (/.f64 c b)) 3) (*.f64 8 (pow.f64 b 3)))) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) (*.f64 a (*.f64 (/.f64 c b) -2))) (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (fma.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2) (neg.f64 (pow.f64 (+.f64 b b) 2)))) (fma.f64 (*.f64 -2 (/.f64 c b)) a (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 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 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c b) -2) (+.f64 b b)) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 -1/2 a) (*.f64 (+.f64 b b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b b) (/.f64 -1/2 a) (*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (*.f64 a (*.f64 (/.f64 c b) -2)) (*.f64 (/.f64 -1/2 a) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 a (*.f64 (/.f64 c b) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 c b))) (cbrt.f64 (exp.f64 (/.f64 c b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 c c)) (/.f64 b (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 b (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 b -2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 (/.f64 c b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b)))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 c b) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a -2) c) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 a (/.f64 c b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 (/.f64 c b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 1))))))

simplify188.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1224×fma-def_binary64
971×fma-neg_binary64
653×div-sub_binary64
422×times-frac_binary64
383×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131076
1231022
2471022
3821022
41251022
51761022
62841022
73731022
87321022
916801022
1040061022
1158461022
1266771022
1368101022
1468701022
1568701022
1679151022
Stop Event
1×node limit
Counts
250 → 126
Calls
Call 1
Inputs
(/.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)
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.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 -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 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
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(*.f64 (/.f64 a b) (*.f64 c -2))
(*.f64 c (*.f64 -2 (/.f64 a b)))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 (/.f64 c b) a) -2)
✓0.4b
(fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))
✓5.5b
(*.f64 (/.f64 c b) a)
✓9.3b
(*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2))
Compiler

Compiled 58 to 25 computations (56.9% saved)

series21.0ms (0.2%)

Counts
4 → 144
Calls

36 calls:

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

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
730×log-prod_binary64
544×prod-diff_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
201×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01359
129046
2404746
Stop Event
1×node limit
Counts
4 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2))
(*.f64 (/.f64 c b) a)
(fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))
(*.f64 (*.f64 (/.f64 c b) a) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a (/.f64 c b)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 a (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 c b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a (/.f64 c b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (/.f64 c b)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (/.f64 c b)) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (/.f64 c b)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 a (*.f64 (/.f64 c b) -2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a (/.f64 c b)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a (/.f64 c b)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3) (pow.f64 (/.f64 -1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (/.f64 c b)) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (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 a (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 c 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 a (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (*.f64 a 0)) (/.f64 (*.f64 a (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 (*.f64 a 0)) 1) (/.f64 (*.f64 a (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (fma.f64 b 2 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) 2) (cbrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) (sqrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 0 (*.f64 a 0)) 3) (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 3)) (fma.f64 (/.f64 0 (*.f64 a 0)) (/.f64 0 (*.f64 a 0)) (-.f64 (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 2) (*.f64 (/.f64 0 (*.f64 a 0)) (/.f64 (*.f64 a (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 0 (*.f64 a 0)) (/.f64 0 (*.f64 a 0))) (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 2)) (-.f64 (/.f64 0 (*.f64 a 0)) (/.f64 (*.f64 a (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a (/.f64 c b)) a)) (exp.f64 (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a (/.f64 c b)) a))) (exp.f64 (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 0 (*.f64 a 0))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 a (/.f64 c b)) a) (/.f64 0 (*.f64 a 0)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 (/.f64 c b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 c b) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a -2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (*.f64 a -2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 a c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 (/.f64 c b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) -2))) 1))))))

simplify197.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1224×fma-def_binary64
971×fma-neg_binary64
660×div-sub_binary64
428×times-frac_binary64
383×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131124
1231070
2471070
3821070
41251070
51761070
62841070
73731070
87361070
916811070
1040041070
1158501070
1266831070
1368201070
1468801070
1568801070
1679281070
Stop Event
1×node limit
Counts
251 → 116
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)
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.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 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 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))

eval633.0ms (4.5%)

Compiler

Compiled 22797 to 14149 computations (37.9% saved)

prune191.0ms (1.4%)

Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New70513718
Fresh31316
Picked101
Done279
Total71133744
Error
0.4b
Counts
744 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
38.5b
(/.f64 1 (/.f64 (neg.f64 b) c))
45.6b
(/.f64 1 (/.f64 (neg.f64 a) b))
60.5b
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
45.8b
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
✓45.8b
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
45.7b
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
52.9b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
55.8b
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
58.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)))) 1)
46.0b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3)
44.9b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶44.9b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
42.9b
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
▶45.0b
(*.f64 (+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
✓57.9b
(/.f64 c b)
51.5b
(*.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))) (*.f64 2 b)) (/.f64 -1/2 a))
✓35.6b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
53.9b
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
55.2b
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
✓45.6b
(-.f64 (/.f64 c b) (/.f64 b a))
▶57.6b
(*.f64 0 (/.f64 -1/2 a))
53.8b
(*.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (/.f64 -1/2 a))
45.6b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
✓32.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
38.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
55.7b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 1/3))
▶45.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
▶37.9b
(/.f64 (neg.f64 c) b)
46.3b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
55.0b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 2)
✓45.6b
(/.f64 (neg.f64 b) a)
55.2b
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
✓46.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
Compiler

Compiled 857 to 612 computations (28.6% saved)

localize13.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize15.0ms (0.1%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (/.f64 (*.f64 c a) b))
5.9b
(/.f64 (*.f64 c a) b)
✓9.2b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series9.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
1.0ms
c
@0
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
1.0ms
b
@0
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
1.0ms
a
@0
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
0.0ms
c
@-inf
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))

rewrite89.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
731×log-prod_binary64
389×pow-prod-down_binary64
314×pow2_binary64
263×pow-unpow_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01113
124212
2347612
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 (/.f64 c b) a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (/.f64 c b) a) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) a) (*.f64 -2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) (pow.f64 (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 2) (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) (sqrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (*.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 1 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 c (*.f64 a (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 a (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b) a) -1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 a) (/.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (*.f64 (/.f64 c b) a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) a) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 2) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b) a) 1) (/.f64 -2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 a a)) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (*.f64 (/.f64 c b) a) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b) a) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 -2 (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))) (/.f64 -2 (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1 (/.f64 a (*.f64 (/.f64 c b) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1 (/.f64 a (*.f64 (/.f64 c b) a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 1))))))

simplify40.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06216
110216
217216
323216
429216
537216
645216
755216
863216
977216
Stop Event
1×saturated
Counts
98 → 64
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))
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)

localize44.0ms (0.3%)

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))
✓12.4b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series50.0ms (0.4%)

Counts
3 → 28
Calls

24 calls:

TimeVariablePointExpression
25.0ms
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
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))
1.0ms
b
@0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))

rewrite140.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
736×log-prod_binary64
385×fma-def_binary64
345×pow2_binary64
242×pow1/3_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
128839
2417439
Stop Event
1×node limit
Counts
3 → 222
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 c a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) (*.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))) (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) -2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) 2) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 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simplify232.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
946×fma-def_binary64
652×fma-neg_binary64
272×associate-*r*_binary64
270×div-sub_binary64
209×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021400
144373
289355
3120355
4174355
5246355
6464355
71003355
81729355
92387355
102469355
112615355
122832355
133177355
143922355
154491355
165193355
175287355
185399355
195453355
205503355
215503355
Stop Event
1×saturated
Counts
250 → 234
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.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 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.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 (*.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 (sqrt.f64 -4) (*.f64 -1/2 (sqrt.f64 (/.f64 c a))))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.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 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.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 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.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 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(*.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2))
✓0.2b
(*.f64 (+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
✓0.4b
(pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)
✓13.3b
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
Compiler

Compiled 63 to 45 computations (28.6% saved)

series156.0ms (1.1%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
45.0ms
c
@-inf
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
22.0ms
c
@0
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
21.0ms
a
@0
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
17.0ms
a
@-inf
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
8.0ms
c
@inf
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)

rewrite97.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
731×log-prod_binary64
399×pow2_binary64
304×fma-def_binary64
272×pow1/3_binary64
271×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01552
133549
2414349
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4)
(pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)
(*.f64 (+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
(+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2))
Outputs
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simplify100.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
450×fma-def_binary64
423×fma-neg_binary64
373×exp-sum_binary64
295×unsub-neg_binary64
286×exp-diff_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0922369
12352369
25782063
313401487
448001487
Stop Event
1×node limit
Counts
293 → 211
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.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 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (*.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 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 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 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.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) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2)
(sqrt.f64 (*.f64 -4 (*.f64 a c)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2)
(sqrt.f64 (*.f64 -4 (*.f64 a c)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2)
(sqrt.f64 (*.f64 -4 (*.f64 a c)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2)
(sqrt.f64 (*.f64 -4 (*.f64 a c)))
(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 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2)
(sqrt.f64 (*.f64 -4 (*.f64 a c)))
(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 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
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(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)
(+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))
(+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))
(+.f64 b (pow.f64 (exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 1/2))
(+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b)

eval226.0ms (1.6%)

Compiler

Compiled 11227 to 6887 computations (38.7% saved)

prune130.0ms (0.9%)

Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New57312585
Fresh71421
Picked101
Done2911
Total58335618
Error
0.0b
Counts
618 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
38.5b
(/.f64 1 (/.f64 (neg.f64 b) c))
45.6b
(/.f64 1 (/.f64 (neg.f64 a) b))
45.8b
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
47.0b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (*.f64 2 a))
46.3b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
45.7b
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
53.0b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
✓45.8b
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
44.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2)))
53.0b
(*.f64 (+.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
52.9b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
44.9b
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
55.0b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 2)
46.0b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3)
55.7b
(pow.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3) 1/3)
✓57.9b
(/.f64 c b)
51.5b
(*.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))) (*.f64 2 b)) (/.f64 -1/2 a))
44.9b
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
✓45.6b
(/.f64 (neg.f64 b) a)
✓35.6b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
53.9b
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
55.2b
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
✓45.6b
(-.f64 (/.f64 c b) (/.f64 b a))
✓57.6b
(*.f64 0 (/.f64 -1/2 a))
46.0b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a))) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
44.9b
(*.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 -1/2 a))
55.2b
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
45.6b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
43.5b
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
53.0b
(*.f64 (+.f64 b (*.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 a -4) 1/4) 2))) (/.f64 -1/2 a))
✓45.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
42.4b
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
38.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓37.9b
(/.f64 (neg.f64 c) b)
✓46.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
Compiler

Compiled 507 to 356 computations (29.8% saved)

regimes929.0ms (6.6%)

Counts
62 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 0 (/.f64 -1/2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2)))
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 a -1/2))
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(fma.f64 (/.f64 -1/2 a) (+.f64 b b) (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 (/.f64 c b) a) -2)))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (*.f64 2 a))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a))) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 2)
(pow.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3) 1/3)
(*.f64 (+.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 1/3))
(/.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 (*.f64 a c) -4)))) a))
(*.f64 (+.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(*.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))) (*.f64 2 b)) (/.f64 -1/2 a))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3))) (/.f64 -1/2 a))
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)))) 1)
(*.f64 (+.f64 b (*.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 a -4) 1/4) 2))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 b) a)
Calls

4 calls:

414.0ms
a
311.0ms
c
96.0ms
b
84.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
20.3b12a
8.4b3b
25.0b10c
12.7b5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 826 to 463 computations (43.9% saved)

bsearch176.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
8.0ms
1.148324592982193e+121
6.998376476504602e+148
167.0ms
-2.711513624080208e-65
-1.4483855942662826e-69
Compiler

Compiled 287 to 208 computations (27.5% saved)

regimes554.0ms (4%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 0 (/.f64 -1/2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2)))
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 a -1/2))
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 b) a)
Calls

3 calls:

317.0ms
a
168.0ms
c
57.0ms
b
Results
ErrorSegmentsBranch
26.3b11a
8.4b3b
29.5b9c
Compiler

Compiled 394 to 208 computations (47.2% saved)

bsearch178.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
6.0ms
1.148324592982193e+121
6.998376476504602e+148
172.0ms
-2.711513624080208e-65
-1.4483855942662826e-69
Compiler

Compiled 278 to 199 computations (28.4% saved)

regimes483.0ms (3.4%)

Counts
35 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 0 (/.f64 -1/2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2)))
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b)) (/.f64 a -1/2))
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

341.0ms
a
82.0ms
c
49.0ms
b
Results
ErrorSegmentsBranch
28.7b10a
11.8b3b
35.1b4c
Compiler

Compiled 378 to 199 computations (47.4% saved)

bsearch765.0ms (5.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
159.0ms
8.932648443263917e-132
5.45529146527049e-126
606.0ms
-2.711513624080208e-65
-1.4483855942662826e-69
Compiler

Compiled 495 to 368 computations (25.7% saved)

regimes385.0ms (2.7%)

Counts
32 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 0 (/.f64 -1/2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

151.0ms
a
133.0ms
c
83.0ms
b
Results
ErrorSegmentsBranch
28.7b10a
11.8b3b
35.1b4c
Compiler

Compiled 335 to 176 computations (47.5% saved)

bsearch190.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
72.0ms
8.932648443263917e-132
5.45529146527049e-126
118.0ms
-2.711513624080208e-65
-1.4483855942662826e-69
Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes121.0ms (0.9%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 0 (/.f64 -1/2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 b a) c)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (*.f64 2 b)) (/.f64 -1/2 a))
(fma.f64 (neg.f64 b) (/.f64 1 a) (/.f64 c b))
Outputs
(/.f64 (neg.f64 c) b)
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

66.0ms
a
29.0ms
b
18.0ms
c
Results
ErrorSegmentsBranch
34.3b4a
20.9b2b
37.9b1c
Compiler

Compiled 261 to 133 computations (49% saved)

bsearch60.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
60.0ms
-1.4579892964731624e-303
5.897126919992767e-303
Compiler

Compiled 216 to 149 computations (31% saved)

regimes47.0ms (0.3%)

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

3 calls:

25.0ms
a
15.0ms
b
5.0ms
c
Results
ErrorSegmentsBranch
34.3b4a
20.9b2b
37.9b1c
Compiler

Compiled 43 to 28 computations (34.9% saved)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
54.0ms
-2.2083177155843387e-288
-4.811394406756536e-295
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -20.6b remaining (-54.4%)

Threshold costs -20.6b (-54.4%)

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

3 calls:

7.0ms
a
3.0ms
b
3.0ms
c
Results
ErrorSegmentsBranch
37.9b1a
37.9b1b
37.9b1c
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
17×+-commutative_binary64
13×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061243
190243
2112243
3136243
4148243
5154243
6156243
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 8956398538073743/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -5637565670928223/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
Outputs
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 1 (/.f64 a (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) -1/2))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 1 (/.f64 a (*.f64 -1/2 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5828006676677187/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (neg.f64 c) b) (if (<=.f64 b 3596254329964023/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 a -2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 8956398538073743/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -5637565670928223/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(if (<=.f64 b -5637565670928223/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (/.f64 (neg.f64 c) b) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
Compiler

Compiled 187 to 123 computations (34.2% saved)

soundness150.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
708×fma-neg_binary64
708×fma-neg_binary64
706×fma-def_binary64
706×fma-def_binary64
596×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512214
14622111
215642000
374912000
01512214
14622111
215642000
374912000
Stop Event
1×node limit
1×node limit
Compiler

Compiled 46 to 34 computations (26.1% saved)

end72.0ms (0.5%)

Compiler

Compiled 166 to 77 computations (53.6% saved)

Profiling

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