Details

Time bar (total: 14.9s)

analyze655.0ms (4.4%)

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)

sample2.8s (18.7%)

Results
964.0ms5579×body256valid
697.0ms1132×body2048valid
398.0ms421×body4096valid
304.0ms747×body1024valid
210.0ms979×body256invalid
111.0ms377×body512valid
96.0ms580×body256infinite
Bogosity

preprocess87.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
807×fma-def_binary64
685×div-sub_binary64
484×associate-/r*_binary64
440×distribute-frac-neg_binary64
353×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
19888
219888
344688
475788
5125088
6222588
7444988
8717188
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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -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 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 -4 b) c))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) b) -1/2)
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (/.f64 -1/2 b))
(*.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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 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 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 -4 b) a))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a))
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4))))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify111.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
852×fma-def_binary64
747×fma-neg_binary64
695×div-sub_binary64
619×times-frac_binary64
422×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
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 -4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 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
32.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.9b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
▶32.8b
(/.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)

localize28.0ms (0.2%)

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))
✓0.3b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
✓0.5b
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
✓21.0b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series31.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

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

rewrite112.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
675×log-prod_binary64
639×prod-diff_binary64
320×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128159
2365959
Stop Event
1×node limit
Counts
4 → 218
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 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 log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (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))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b 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))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (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))))) (fma.f64 -1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (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))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 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simplify75.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
969×times-frac_binary64
898×fma-def_binary64
822×associate-*l*_binary64
643×associate-/l*_binary64
574×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842486
15702363
220422204
Stop Event
1×node limit
Counts
314 → 301
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))) 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))) 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))) 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 (/.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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 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 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) b) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 (*.f64 2 c) a) b) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) 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 c (/.f64 b a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a) (/.f64 (pow.f64 c 4) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (*.f64 a b)) (pow.f64 c 4)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

localize27.0ms (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))
✓0.2b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
✓0.5b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
✓21.0b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 73 to 32 computations (56.2% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

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

rewrite143.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
817×log-prod_binary64
729×fma-def_binary64
373×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134362
2492059
Stop Event
1×node limit
Counts
4 → 334
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 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (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 b b (*.f64 4 (*.f64 a c))) (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 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 log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (+.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 b b (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 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((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))))

simplify82.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
1×node limit
Counts
430 → 415
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))
(-.f64 (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))) b)
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (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 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 -2 (/.f64 b (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(+.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)))))
(fma.f64 -1/2 (/.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)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))))
(*.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 2 b) (*.f64 c a)))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 a (/.f64 (pow.f64 c 4) b))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

eval445.0ms (3%)

Compiler

Compiled 20648 to 12271 computations (40.6% saved)

prune144.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New69323716
Fresh000
Picked101
Done101
Total69523718
Error
4.9b
Counts
718 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
44.1b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
55.3b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
▶41.2b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
47.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
47.3b
(-.f64 (/.f64 c b) (/.f64 b a))
45.7b
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
▶30.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
47.3b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))
▶47.1b
(neg.f64 (/.f64 b a))
48.0b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
34.3b
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
43.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
42.9b
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
38.8b
(/.f64 (neg.f64 c) b)
32.7b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
34.2b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
44.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
55.5b
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
48.0b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
▶44.9b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
▶43.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
32.9b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
44.5b
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) a))
Compiler

Compiled 790 to 550 computations (30.4% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
✓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)))
✓12.0b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series91.0ms (0.6%)

Counts
4 → 36
Calls

33 calls:

TimeVariablePointExpression
12.0ms
c
@-inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
9.0ms
c
@0
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
6.0ms
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 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))

rewrite110.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
804×log-prod_binary64
593×prod-diff_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
246×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132466
2424566
Stop Event
1×node limit
Counts
4 → 215
Calls
Call 1
Inputs
(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))
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
Outputs
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simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
803×associate-/r*_binary64
677×unswap-sqr_binary64
376×associate-*l/_binary64
345×associate-*r/_binary64
240×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02161792
16671419
227141360
368171353
Stop Event
1×node limit
Counts
251 → 287
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 2 (*.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 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4)))) (pow.f64 b 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 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 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.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 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.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 -1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (*.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))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) 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))) 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))) 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 (*.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))))
Outputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4)) (*.f64 (/.f64 -1/2 a) b))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 -1 c) b))
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (neg.f64 c) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)))))
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (neg.f64 c) b)) (/.f64 (*.f64 (pow.f64 c 3) 1/32) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5))))))
(+.f64 (fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)))) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 (pow.f64 c 3) 1/32) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a)))) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (/.f64 (neg.f64 c) b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 c b)) (/.f64 b a))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) 1/16 (+.f64 (/.f64 (*.f64 1 c) b) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/32) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a))) (/.f64 b a))))
(+.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 c b)) (/.f64 b a)) (/.f64 (*.f64 (pow.f64 c 3) -1/32) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (fma.f64 (/.f64 (*.f64 -1/32 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a) (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (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 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (*.f64 2 (*.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 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (*.f64 (*.f64 b b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (*.f64 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
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(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.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 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (/.f64 (pow.f64 b 3) 16)) (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) 2)) (pow.f64 b 7)) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (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 (*.f64 -1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)))))
(*.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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (*.f64 c 1/2) (/.f64 (/.f64 b -4) a)))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 b 2))
(+.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 (*.f64 c 1/2) (/.f64 (/.f64 b -4) a))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c 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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.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 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c 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 c 1/2) (/.f64 (/.f64 b -4) a)))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c 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 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 b 2))))

localize5.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.5b
(*.f64 (/.f64 2 b) (*.f64 c a))
✓10.1b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series13.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
627×log-prod_binary64
435×pow-prod-down_binary64
308×pow2_binary64
267×pow-unpow_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
124126
2309326
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 2 b) (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) (*.f64 (*.f64 a -2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) (/.f64 -1/2 a)) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1) (*.f64 b (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (*.f64 c a))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (*.f64 c a))) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) (/.f64 -1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (/.f64 2 b) (*.f64 c a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (*.f64 c a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))))

simplify35.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
1×saturated
Counts
146 → 78
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)

localize21.0ms (0.1%)

Local error

Found 4 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))
✓0.2b
(*.f64 c (*.f64 a -4))
✓12.0b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series17.0ms (0.1%)

Counts
4 → 52
Calls

30 calls:

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

rewrite81.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01350
128446
2396846
Stop Event
1×node limit
Counts
4 → 163
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(*.f64 c (*.f64 a -4))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))
Outputs
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b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (cbrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))

simplify309.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1095×fma-neg_binary64
997×fma-def_binary64
371×div-sub_binary64
315×associate-/l/_binary64
301×associate-/l*_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
022548
140548
268548
385548
4103548
5131548
6195548
7293548
8469548
9769548
101133539
111431539
122108539
133126539
143283539
153626539
164221539
174753539
185238539
195595539
205833539
215979539
226154539
236733539
246819539
257091539
267091539
277091539
Stop Event
1×saturated
Counts
215 → 174
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)
Outputs
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 c (*.f64 -4 a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.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 (neg.f64 b) a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
✓0.2b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
✓0.5b
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
✓32.2b
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
Compiler

Compiled 77 to 42 computations (45.5% saved)

series34.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
6.0ms
a
@0
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
4.0ms
b
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
b
@0
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
a
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
c
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)

rewrite107.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
702×prod-diff_binary64
688×log-prod_binary64
313×fma-def_binary64
271×expm1-udef_binary64
271×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
132565
2410062
Stop Event
1×node limit
Counts
4 → 207
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2) 1/3)))) (#(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 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 1/2)))) (#(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 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))) (#(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 hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) 1/3))))) (#(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 log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))
((#(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 (*.f64 a c) -4 (*.f64 b b))) (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) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 -1 (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) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (cbrt.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) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4) 1/3)) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4) 1/3) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4) (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2)))))))

simplify105.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
452×fma-def_binary64
371×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
342×distribute-rgt-out_binary64
306×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04084188
113253872
252983510
Stop Event
1×node limit
Counts
303 → 345
Calls
Call 1
Inputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) 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))) 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))) 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 (/.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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 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 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 -6 (*.f64 c (*.f64 a b))) (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))) (pow.f64 a 3)) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (pow.f64 b 3) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (*.f64 -6 (*.f64 c (*.f64 a b)))))
(+.f64 (*.f64 (+.f64 (*.f64 -36 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 72 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) (*.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (*.f64 -6 (*.f64 c (*.f64 a b))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (+.f64 (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))) (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -64) (pow.f64 b 6)))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))))
(+.f64 (*.f64 72 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 -6 (*.f64 c (*.f64 a b))) (*.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(*.f64 -1 (pow.f64 b 3))
(+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 72 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (*.f64 -1 (pow.f64 b 3)))))
Outputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 -2 c) a) b)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
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b
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(*.f64 2 b)
(*.f64 b 2)
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(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
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(*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2))
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(fma.f64 -3/8 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))
(fma.f64 -3/8 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c)) (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)))
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(+.f64 (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (*.f64 (/.f64 b (/.f64 a b)) -3/8) (/.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) c))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (*.f64 c a) (*.f64 b b))) (fma.f64 -1 (/.f64 (fma.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))))))
(+.f64 (fma.f64 -3/8 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c) (/.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) c)) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1024) (pow.f64 c 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (-.f64 (*.f64 (/.f64 b (/.f64 a b)) -3/8) (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1024) (*.f64 c c)))) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (*.f64 c c)) 1) (*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 -64)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 -64)) -3/8)))
(*.f64 (sqrt.f64 -64) (+.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) -3/8) (*.f64 b b))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 b 4) (sqrt.f64 -64))) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 -64))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 -64))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (pow.f64 b 4) (sqrt.f64 -64)) 3/128))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (*.f64 (sqrt.f64 -64) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) -3/8) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 3/128) (pow.f64 b 4)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (+.f64 (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))) (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -64) (pow.f64 b 6)))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 b 4) (sqrt.f64 -64))) (fma.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 -64))) (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 b 6) (sqrt.f64 -64)))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 b 4) (sqrt.f64 -64))) (fma.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 -64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (*.f64 (pow.f64 b 6) (sqrt.f64 -64)) 1/1024)))))
(+.f64 (*.f64 (sqrt.f64 -64) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) -3/8) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) 1/1024) (pow.f64 b 6)))) (*.f64 (sqrt.f64 -64) (+.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 3/128) (pow.f64 b 4)))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 b a))))
(fma.f64 -6 (*.f64 b (*.f64 c a)) (pow.f64 b 3))
(+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))))
(fma.f64 18 (/.f64 (*.f64 c c) (/.f64 b (*.f64 a a))) (fma.f64 -12 (/.f64 (*.f64 c c) (/.f64 b (*.f64 a a))) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 b a))))))
(+.f64 (fma.f64 -6 (*.f64 b (*.f64 c a)) (pow.f64 b 3)) (*.f64 (*.f64 (/.f64 (*.f64 c c) b) (*.f64 a a)) 6))
(+.f64 (*.f64 72 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 -6 (*.f64 c (*.f64 a b))) (*.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(fma.f64 72 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)) (fma.f64 18 (/.f64 (*.f64 c c) (/.f64 b (*.f64 a a))) (fma.f64 -12 (/.f64 (*.f64 c c) (/.f64 b (*.f64 a a))) (fma.f64 -36 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)) (+.f64 (pow.f64 b 3) (fma.f64 -6 (*.f64 c (*.f64 b a)) (*.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(fma.f64 72 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (+.f64 (fma.f64 -32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (*.f64 c (*.f64 (*.f64 b a) -6))) (fma.f64 -36 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (pow.f64 b 3))) (*.f64 (*.f64 (/.f64 (*.f64 c c) b) (*.f64 a a)) 6)))
(fma.f64 72 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (+.f64 (fma.f64 -6 (*.f64 b (*.f64 c a)) (pow.f64 b 3)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) -68)) (*.f64 (*.f64 (/.f64 (*.f64 c c) b) (*.f64 a a)) 6)))
(*.f64 -1 (pow.f64 b 3))
(neg.f64 (pow.f64 b 3))
(+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3)))
(fma.f64 6 (*.f64 c (*.f64 b a)) (neg.f64 (pow.f64 b 3)))
(-.f64 (*.f64 c (*.f64 (*.f64 b a) 6)) (pow.f64 b 3))
(fma.f64 c (*.f64 (*.f64 b a) 6) (neg.f64 (pow.f64 b 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) 6) b) (fma.f64 6 (*.f64 c (*.f64 b a)) (neg.f64 (pow.f64 b 3))))
(-.f64 (-.f64 (*.f64 c (*.f64 (*.f64 b a) 6)) (pow.f64 b 3)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 b 6)))
(-.f64 (fma.f64 c (*.f64 (*.f64 b a) 6) (neg.f64 (pow.f64 b 3))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 b 6)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 72 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (*.f64 -1 (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) 6) b) (fma.f64 6 (*.f64 c (*.f64 b a)) (fma.f64 -1 (/.f64 (fma.f64 -32 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 36)) (pow.f64 b 3)) (neg.f64 (pow.f64 b 3)))))
(-.f64 (-.f64 (-.f64 (*.f64 c (*.f64 (*.f64 b a) 6)) (/.f64 (*.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 3))) (pow.f64 b 3)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 b 6)))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -6) b) (-.f64 (fma.f64 c (*.f64 (*.f64 b a) 6) (/.f64 (*.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 3))) (pow.f64 b 3)))

eval489.0ms (3.3%)

Compiler

Compiled 23788 to 15651 computations (34.2% saved)

prune166.0ms (1.1%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New86519884
Fresh13518
Picked101
Done224
Total88126907
Error
0.0b
Counts
907 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
44.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
▶38.8b
(/.f64 (neg.f64 c) b)
62.0b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
55.3b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
✓47.1b
(neg.f64 (/.f64 b a))
48.0b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
▶43.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
44.8b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
▶43.0b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
43.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶30.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))
48.0b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
47.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
44.9b
(/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
55.8b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))) (/.f64 -1/2 a))
✓44.9b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
47.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
47.8b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
59.7b
(*.f64 -1/2 (/.f64 b a))
32.9b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
53.8b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))
48.7b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
38.8b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
39.1b
(/.f64 1 (/.f64 (neg.f64 b) c))
43.0b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
▶47.3b
(-.f64 (/.f64 c b) (/.f64 b a))
Compiler

Compiled 783 to 569 computations (27.3% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))
✓0.2b
(*.f64 c (*.f64 -4 a))
✓0.3b
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)
✓12.3b
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
Compiler

Compiled 110 to 79 computations (28.2% saved)

series165.0ms (1.1%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
49.0ms
c
@-inf
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
37.0ms
c
@0
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
15.0ms
a
@0
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
13.0ms
a
@-inf
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
9.0ms
a
@inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))

rewrite102.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
600×prod-diff_binary64
317×expm1-udef_binary64
317×log1p-udef_binary64
268×log-pow_binary64
254×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01852
139847
2498047
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)
(*.f64 c (*.f64 -4 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/4) (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/8) (*.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/8) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/8)) (pow.f64 (*.f64 a (*.f64 c -4)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 c 1/4)) (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 (*.f64 -4 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 -4 a) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 c 1/4)) (pow.f64 (*.f64 -4 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 -4 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -4 a) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c -4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) -1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 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simplify94.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
726×associate-*r*_binary64
682×associate-*l*_binary64
444×times-frac_binary64
360×fma-def_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862540
15262268
216432016
373251898
Stop Event
1×node limit
Counts
226 → 169
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)
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(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)
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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 -4 (*.f64 c a))
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(*.f64 -4 (*.f64 c a))
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(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
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(*.f64 -4 (*.f64 c a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2)))) a))
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(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
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(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
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(*.f64 -1 (/.f64 b a))
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(+.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 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -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 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -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 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -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 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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)
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
(sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 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 (*.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)
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
(sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 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 (*.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)
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
(sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 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 (*.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)
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
(sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4)))))
(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) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
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(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (/.f64 (*.f64 c (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))
(+.f64 (fma.f64 -1/16 (/.f64 (*.f64 c (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) (/.f64 (*.f64 -1 c) b)) (/.f64 (*.f64 (*.f64 1/32 (pow.f64 c 3)) (*.f64 (*.f64 -64 a) a)) (pow.f64 b 5)))
(+.f64 (/.f64 (neg.f64 c) b) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) -2)) (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))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))))
(+.f64 (fma.f64 -1/16 (/.f64 (*.f64 c (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) (/.f64 (*.f64 (*.f64 1/32 (pow.f64 c 3)) (*.f64 (*.f64 -64 a) a)) (pow.f64 b 5))) (fma.f64 -1/4 (/.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 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) -2)) (pow.f64 b 5)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(+.f64 (/.f64 c b) (-.f64 (/.f64 (*.f64 1 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 b a)))
(+.f64 (/.f64 c b) (-.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a))) -1/32))
(+.f64 (/.f64 c b) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (-.f64 (/.f64 (*.f64 1 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (-.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 b a))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2))) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a (exp.f64 (log.f64 -4))))))))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.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))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b)))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 c)))))) b)))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.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))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b)))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 c)))))) b)))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.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))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b)))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 c)))))) b)))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (+.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))))) 4)))) a))
(*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)) a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b)))
(*.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (exp.f64 (-.f64 (log.f64 4) (log.f64 (/.f64 -1 c)))))) b)))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0%)

Compiler

Compiled 19 to 6 computations (68.4% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)
✓0.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
✓12.0b
(sqrt.f64 (*.f64 (*.f64 c -4) a))
Compiler

Compiled 45 to 29 computations (35.6% saved)

series9.0ms (0.1%)

Counts
3 → 28
Calls

24 calls:

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

rewrite94.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
716×log-prod_binary64
405×fma-def_binary64
344×pow2_binary64
266×fma-neg_binary64
241×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
126539
2370439
Stop Event
1×node limit
Counts
3 → 201
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 c -4) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 c -4) a) (*.f64 b b)) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 b)) 2) (cbrt.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))

simplify218.0ms (1.5%)

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

Useful iterations: 10 (0.0ms)

IterNodesCost
021380
136380
257380
372380
490380
5118380
6182380
7280380
8457380
9758380
101120371
111421371
122000371
132996371
143058371
153165371
163367371
173662371
184358371
194962371
205663371
215757371
225869371
235923371
245973371
255973371
Stop Event
1×saturated
Counts
229 → 213
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
Outputs
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 b (/.f64 a -1/2))
(/.f64 b (*.f64 -2 a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 (neg.f64 b) a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b (neg.f64 a))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) (neg.f64 b))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2))
✓0.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
✓0.3b
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)
✓12.3b
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
Compiler

Compiled 66 to 45 computations (31.8% saved)

series17.0ms (0.1%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
4.0ms
b
@0
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
1.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
1.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
1.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
761×log-prod_binary64
316×fma-def_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
261×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01556
133849
2445949
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (pow.f64 (*.f64 -4 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (*.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) 3) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 (*.f64 c -4) 1/4)) (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2) (pow.f64 (pow.f64 a 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c -4) 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 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simplify188.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
633×fma-neg_binary64
464×fma-def_binary64
371×exp-sum_binary64
309×unsub-neg_binary64
286×exp-diff_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0932560
12512496
26002208
314671632
457411632
Stop Event
1×node limit
Counts
301 → 223
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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 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 (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 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 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 (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 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c)) 1/4)
(pow.f64 (*.f64 (*.f64 a -1) (*.f64 c 4)) 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c)) 1/4)
(pow.f64 (*.f64 (*.f64 a -1) (*.f64 c 4)) 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c)) 1/4)
(pow.f64 (*.f64 (*.f64 a -1) (*.f64 c 4)) 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 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
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(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b)
(-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b)
(-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b)
(-.f64 (sqrt.f64 (/.f64 (*.f64 a 4) (/.f64 -1 c))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 a -1) (*.f64 c 4))) b)

eval313.0ms (2.1%)

Compiler

Compiled 12451 to 8584 computations (31.1% saved)

prune119.0ms (0.8%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New5969605
Fresh61319
Picked101
Done066
Total60328631
Error
0.0b
Counts
631 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
44.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
48.8b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2)) (*.f64 2 a))
✓38.8b
(/.f64 (neg.f64 c) b)
43.1b
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) b) (*.f64 2 a))
▶38.8b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓47.1b
(neg.f64 (/.f64 b a))
48.0b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
43.6b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c -4) a) (*.f64 b b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 2 a))
54.5b
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c -4)) a) (/.f64 (sqrt.f64 a) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
43.0b
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
✓43.0b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
✓30.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))
48.0b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
47.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
48.7b
(/.f64 (-.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b) (*.f64 2 a))
44.9b
(/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
✓44.9b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
47.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
47.8b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
▶32.9b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
▶59.7b
(/.f64 b (*.f64 -2 a))
55.3b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
▶43.0b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
39.1b
(/.f64 1 (/.f64 (neg.f64 b) c))
▶43.0b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
53.4b
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) (*.f64 2 a))
✓47.3b
(-.f64 (/.f64 c b) (/.f64 b a))
53.8b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))
Compiler

Compiled 789 to 578 computations (26.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
✓0.2b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓0.5b
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
✓21.0b
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

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

rewrite150.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
131259
2433459
Stop Event
1×node limit
Counts
4 → 236
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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
Outputs
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simplify78.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
969×times-frac_binary64
898×fma-def_binary64
825×associate-*l*_binary64
643×associate-/l*_binary64
574×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842486
15702363
220432204
Stop Event
1×node limit
Counts
332 → 319
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))) 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))) 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))) 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 (/.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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 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 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -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)))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -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 (*.f64 (*.f64 2 c) a) b) b)
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)
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(*.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))
(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))

localize6.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 29 to 9 computations (69% saved)

series6.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite188.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
535×log-prod_binary64
369×pow-prod-down_binary64
313×fma-def_binary64
279×pow2_binary64
211×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
120313
2308213
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (+.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
730×associate-*l/_binary64
699×associate-/r/_binary64
517×unswap-sqr_binary64
493×associate-*r/_binary64
343×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491091
11511067
25761027
333251023
Stop Event
1×node limit
Counts
73 → 52
Calls
Call 1
Inputs
(*.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 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.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 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
✓0.2b
(*.f64 b (/.f64 1/2 a))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a))
12.0b
(sqrt.f64 (*.f64 (*.f64 c -4) a))
Compiler

Compiled 56 to 37 computations (33.9% saved)

series56.0ms (0.4%)

Counts
3 → 38
Calls

21 calls:

TimeVariablePointExpression
34.0ms
b
@inf
(*.f64 b (/.f64 1/2 a))
3.0ms
c
@0
(*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a))
1.0ms
b
@0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
1.0ms
c
@inf
(*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a))
1.0ms
a
@inf
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))

rewrite161.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
775×log-prod_binary64
548×fma-def_binary64
299×fma-neg_binary64
259×pow1/3_binary64
259×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
129740
2399340
Stop Event
1×node limit
Counts
3 → 292
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a))
(*.f64 b (/.f64 1/2 a))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
Outputs
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(*.f64 a 2)) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (*.f64 b (/.f64 -1/2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 b (/.f64 -1/2 a) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (neg.f64 (-.f64 (/.f64 b (*.f64 a 2)) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) (*.f64 (*.f64 b (/.f64 -1/2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) (fma.f64 b (/.f64 -1/2 a) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) (neg.f64 (-.f64 (/.f64 b (*.f64 a 2)) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (*.f64 (*.f64 b (/.f64 -1/2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (fma.f64 b (/.f64 -1/2 a) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (neg.f64 (-.f64 (/.f64 b (*.f64 a 2)) (fma.f64 b (/.f64 -1/2 a) (/.f64 b (*.f64 a 2))))))))))

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
10×fma-def_binary64
4×associate-/l*_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016399
128399
246399
360399
463399
564399
Stop Event
1×saturated
Counts
330 → 300
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
Outputs
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 1/2 (/.f64 b a))
(/.f64 (*.f64 1/2 b) a)
(/.f64 1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(/.f64 b (/.f64 a -1/2))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(/.f64 b (/.f64 a -1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(/.f64 b (/.f64 a -1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))
✓0.1b
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
✓0.2b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
12.0b
(sqrt.f64 (*.f64 (*.f64 c -4) a))
Compiler

Compiled 60 to 40 computations (33.3% saved)

series114.0ms (0.8%)

Counts
3 → 42
Calls

27 calls:

TimeVariablePointExpression
43.0ms
a
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
11.0ms
c
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
9.0ms
c
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
8.0ms
c
@0
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
7.0ms
a
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)

rewrite210.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01451
130448
2401848
Stop Event
1×node limit
Counts
3 → 232
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
(-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))
Outputs
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(*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (/.f64 1 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (*.f64 a (*.f64 c -4))) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (/.f64 1 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 (*.f64 c -4)) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (/.f64 1 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (*.f64 a (*.f64 c -4))) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 (*.f64 c -4)) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) b)))))

simplify147.0ms (1%)

Algorithm
1×egg-herbie
Rules
684×fma-def_binary64
642×times-frac_binary64
532×associate-*r*_binary64
520×associate-*l*_binary64
395×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271117
1397889
21541831
37737831
Stop Event
1×node limit
Counts
274 → 265
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -2 (/.f64 a b))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
b
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
b
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
b
b
Outputs
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 (/.f64 -1/2 a) b)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 (/.f64 -1/2 a) b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 (/.f64 -1/2 a) b)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 (/.f64 -1/2 a) b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 (/.f64 -1/2 a) b)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 (/.f64 -1/2 a) b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 (/.f64 -1/2 a) b)
(*.f64 -2 (/.f64 a b))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (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 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) c))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 -1/2 (/.f64 b c) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)))))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3)))))))
(+.f64 (*.f64 -1/2 (/.f64 b c)) (*.f64 2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 16 (*.f64 c c)))))))
(fma.f64 2 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -4) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) (fma.f64 -1/2 (/.f64 b c) (*.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) (/.f64 1/8 a))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (/.f64 (pow.f64 b 4) -4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (/.f64 (pow.f64 b 4) -4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (/.f64 (sqrt.f64 -4) b) b) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(*.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
b
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
b
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) b)
(-.f64 b (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))))
b
b

eval587.0ms (3.9%)

Compiler

Compiled 25976 to 17384 computations (33.1% saved)

prune242.0ms (1.6%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New9857992
Fresh61117
Picked101
Done3710
Total995251020
Error
0.0b
Counts
1020 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
44.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
48.8b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2)) (*.f64 2 a))
✓38.8b
(/.f64 (neg.f64 c) b)
✓47.1b
(neg.f64 (/.f64 b a))
48.0b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
43.6b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c -4) a) (*.f64 b b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 2 a))
43.0b
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
✓43.0b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
39.1b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
48.0b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
47.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
48.7b
(/.f64 (-.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b) (*.f64 2 a))
✓47.3b
(-.f64 (/.f64 c b) (/.f64 b a))
43.0b
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
54.5b
(fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (*.f64 b (/.f64 -1/2 a)))
✓44.9b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
47.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
47.8b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
✓32.9b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓38.8b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
45.9b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
62.2b
(/.f64 b a)
44.7b
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (*.f64 (*.f64 a -2) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
53.4b
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) (*.f64 2 a))
43.0b
(/.f64 (/.f64 1 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Compiler

Compiled 379 to 272 computations (28.2% saved)

regimes950.0ms (6.4%)

Counts
60 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(/.f64 (/.f64 1 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 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))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (*.f64 (*.f64 a -2) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c -4) a) (*.f64 b b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
(/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c -4) a)))) (*.f64 2 a))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(/.f64 (-.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) a))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) b) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))
(fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c -4))) (sqrt.f64 a) (*.f64 b (/.f64 -1/2 a)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c -4)) a) (/.f64 (sqrt.f64 a) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2)) (*.f64 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 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2)))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

4 calls:

421.0ms
c
250.0ms
a
135.0ms
b
93.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.1b6a
8.9b3b
22.3b6c
10.7b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 858 to 521 computations (39.3% saved)

bsearch388.0ms (2.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
255.0ms
0.0024148245359729634
0.011214487783014598
132.0ms
-248421322691510.9
-1094075122890.457
Compiler

Compiled 403 to 292 computations (27.5% saved)

regimes336.0ms (2.2%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(/.f64 (/.f64 1 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(neg.f64 (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

164.0ms
c
111.0ms
a
44.0ms
b
Results
ErrorSegmentsBranch
26.0b7a
8.9b3b
27.6b7c
Compiler

Compiled 293 to 171 computations (41.6% saved)

bsearch323.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
193.0ms
0.0024148245359729634
0.011214487783014598
129.0ms
-248421322691510.9
-1094075122890.457
Compiler

Compiled 390 to 279 computations (28.5% saved)

regimes397.0ms (2.7%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(/.f64 (/.f64 1 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

177.0ms
a
132.0ms
c
80.0ms
b
Results
ErrorSegmentsBranch
28.6b10a
10.2b3b
31.2b7c
Compiler

Compiled 277 to 162 computations (41.5% saved)

bsearch489.0ms (3.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
212.0ms
0.0024148245359729634
0.011214487783014598
276.0ms
-36.03438871011904
-0.012872346137363433
Compiler

Compiled 386 to 279 computations (27.7% saved)

regimes228.0ms (1.5%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

111.0ms
a
75.0ms
c
36.0ms
b
Results
ErrorSegmentsBranch
28.7b10a
10.3b3b
31.3b7c
Compiler

Compiled 180 to 98 computations (45.6% saved)

bsearch416.0ms (2.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
195.0ms
0.0024148245359729634
0.011214487783014598
221.0ms
-36.03438871011904
-0.012872346137363433
Compiler

Compiled 386 to 279 computations (27.7% saved)

regimes158.0ms (1.1%)

Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 -2 a))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

46.0ms
c
46.0ms
a
21.0ms
b
Results
ErrorSegmentsBranch
36.3b5a
23.2b2b
36.1b5c
Compiler

Compiled 168 to 90 computations (46.4% saved)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
34.0ms
-3.785311422898734e-306
1.8709535496419837e-305
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -23.7b remaining (-61.2%)

Threshold costs -23.7b (-61.2%)

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

3 calls:

3.0ms
b
3.0ms
a
3.0ms
c
Results
ErrorSegmentsBranch
38.8b1a
38.8b1b
38.8b1c
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
055218
183216
2105216
3121216
4128216
5131216
6132216
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)
Outputs
(if (<=.f64 b -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)
Compiler

Compiled 166 to 109 computations (34.3% saved)

soundness656.0ms (4.4%)

Algorithm
3×egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
852×fma-def_binary64
803×associate-/r*_binary64
747×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01842477
15822367
221172202
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
02161792
16671419
227141360
368171353
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 475 to 347 computations (26.9% saved)

end258.0ms (1.7%)

Compiler

Compiled 148 to 72 computations (51.4% saved)

Profiling

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